Frames of subspaces. Zbl 1058.42019
Casazza, Peter G.; Kutyniok, Gitta |
|
2004
|
Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong |
|
2008
|
Finite frames. Theory and applications. Zbl 1257.42001
|
|
2013
|
Resolution of the wavefront set using continuous shearlets. Zbl 1169.42012
Kutyniok, Gitta; Labate, Demetrio |
|
2009
|
Sparse multidimensional representations using anisotropic dilation and shear operators. Zbl 1099.65148
Guo, Kanghui; Kutyniok, Gitta; Labate, Demetrio |
|
2006
|
Shearlets. Multiscale analysis for multivariate data. Zbl 1237.42001
|
|
2012
|
Optimal approximation with sparsely connected deep neural networks. Zbl 1499.41029
Bölcskei, Helmut; Grohs, Philipp; Kutyniok, Gitta; Petersen, Philipp |
|
2019
|
Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd |
|
2009
|
The uncertainty principle associated with the continuous shearlet transform. Zbl 1257.42047
Dahlke, Stephan; Kutyniok, Gitta; Maass, Peter; Sagiv, Chen; Stark, Hans-Georg; Teschke, Gerd |
|
2008
|
Compactly supported shearlets are optimally sparse. Zbl 1226.42031
Kutyniok, Gitta; Lim, Wang-Q |
|
2011
|
Error bounds for approximations with deep ReLU neural networks in \(W^{s , p}\) norms. Zbl 1452.41009
Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp |
|
2020
|
A theoretical analysis of deep neural networks and parametric PDEs. Zbl 07493717
Kutyniok, Gitta; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold |
|
2022
|
Construction of compactly supported shearlet frames. Zbl 1239.42031
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q |
|
2012
|
Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao |
|
2009
|
Scalable frames. Zbl 1260.42023
Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich; Tuley, Elizabeth K. |
|
2013
|
Introduction to shearlets. Zbl 1251.42010
Kutyniok, Gitta; Labate, Demetrio |
|
2012
|
Duality principles in frame theory. Zbl 1058.42020
Casazza, Peter G.; Kutyniok, Gitta; Lammers, Mark C. |
|
2004
|
A new identity for Parseval frames. Zbl 1136.42308
Balan, Radu; Casazza, Peter G.; Edidin, Dan; Kutyniok, Gitta |
|
2007
|
Microlocal analysis of the geometric separation problem. Zbl 1261.94007
Donoho, David; Kutyniok, Gitta |
|
2013
|
Zeros of the Zak transform on locally compact Abelian groups. Zbl 0907.43005
Kaniuth, Eberhard; Kutyniok, Gitta |
|
1998
|
Parabolic molecules. Zbl 1403.42038
Grohs, Philipp; Kutyniok, Gitta |
|
2014
|
Robustness of fusion frames under erasures of subspaces and of local frame vectors. Zbl 1256.94017
Casazza, Peter G.; Kutyniok, Gitta |
|
2008
|
Approximation spaces of deep neural networks. Zbl 1491.82017
Gribonval, Rémi; Kutyniok, Gitta; Nielsen, Morten; Voigtlaender, Felix |
|
2022
|
Sparse fusion frames: existence and construction. Zbl 1264.94042
Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali |
|
2011
|
Optimally sparse approximations of 3D functions by compactly supported shearlet frames. Zbl 1252.42043
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q |
|
2012
|
Learning the invisible: a hybrid deep learning-shearlet framework for limited angle computed tomography. Zbl 1416.92099
Bubba, Tatiana A.; Kutyniok, Gitta; Lassas, Matti; März, Maximilian; Samek, Wojciech; Siltanen, Samuli; Srinivasan, Vignesh |
|
2019
|
Numerical solution of the parametric diffusion equation by deep neural networks. Zbl 1473.35331
Geist, Moritz; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold; Kutyniok, Gitta |
|
2021
|
ShearLab 3D: faithful digital shearlet transforms based on compactly supported shearlets. Zbl 1347.65203
Kutyniok, Gitta; Lim, Wang-Q; Reisenhofer, Rafael |
|
2016
|
Density of weighted wavelet frames. Zbl 1029.42031
Heil, Christopher; Kutyniok, Gitta |
|
2003
|
Analysis of inpainting via clustered sparsity and microlocal analysis. Zbl 1362.94007
King, Emily J.; Kutyniok, Gitta; Zhuang, Xiaosheng |
|
2014
|
Introduction to finite frame theory. Zbl 1281.42032
Casazza, Peter G.; Kutyniok, Gitta; Philipp, Friedrich |
|
2013
|
Classification of edges using compactly supported shearlets. Zbl 1378.42023
Kutyniok, Gitta; Petersen, Philipp |
|
2017
|
Optimally sparse frames. Zbl 1365.94059
Casazza, Peter G.; Heinecke, Andreas; Krahmer, Felix; Kutyniok, Gitta |
|
2011
|
ShearLab: a rational design of a digital parabolic scaling algorithm. Zbl 1257.42048
Kutyniok, Gitta; Shahram, Morteza; Zhuang, Xiaosheng |
|
2012
|
The Balian-Low theorem for symplectic lattices in higher dimensions. Zbl 1017.42027
Gröchenig, Karlheinz; Han, Deguang; Heil, Christopher; Kutyniok, Gitta |
|
2002
|
The geometry of sets of parameters of wave packet frames. Zbl 1095.42020
Czaja, Wojciech; Kutyniok, Gitta; Speegle, Darrin |
|
2006
|
Sparse recovery from combined fusion frame measurements. Zbl 1365.94066
Boufounos, Petros; Kutyniok, Gitta; Rauhut, Holger |
|
2011
|
The theory of reproducing systems on locally compact abelian groups. Zbl 1113.43008
Kutyniok, Gitta; Labate, Demetrio |
|
2006
|
Adaptive directional subdivision schemes and shearlet multiresolution analysis. Zbl 1193.42127
Kutyniok, Gitta; Sauer, Tomas |
|
2009
|
Affine density in wavelet analysis. Zbl 1142.42017
Kutyniok, Gitta |
|
2007
|
Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053
Han, Bin; Kutyniok, Gitta; Shen, Zuowei |
|
2011
|
Theory and applications of compressed sensing. Zbl 1283.94018
Kutyniok, Gitta |
|
2013
|
Linear stable sampling rate: optimality of 2D wavelet reconstructions from Fourier measurements. Zbl 1331.42036
Adcock, Ben; Hansen, Anders C.; Kutyniok, Gitta; Ma, Jackie |
|
2015
|
The homogeneous approximation property for wavelet frames. Zbl 1133.42049
Heil, Christopher; Kutyniok, Gitta |
|
2007
|
Landau’s necessary density conditions for LCA groups. Zbl 1158.43004
Gröchenig, Karlheinz; Kutyniok, Gitta; Seip, Kristian |
|
2008
|
A quantitative notion of redundancy for finite frames. Zbl 1211.42027
Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta |
|
2011
|
\(\alpha\)-Molecules. Zbl 1342.42041
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin |
|
2016
|
Beurling dimension of Gabor pseudoframes for affine subspaces. Zbl 1268.42055
Czaja, Wojciech; Kutyniok, Gitta; Speegle, Darrin |
|
2008
|
Asymptotic analysis of inpainting via universal shearlet systems. Zbl 1307.42033
Genzel, Martin; Kutyniok, Gitta |
|
2014
|
Compactly supported shearlets. Zbl 1252.42042
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q |
|
2012
|
The modern mathematics of deep learning.
(Die moderne Mathematik des tiefen Lernens.) Zbl 07571594
Berner, Julius; Grohs, Philipp; Kutyniok, Gitta; Petersen, Philipp |
|
2021
|
A survey of compressed sensing. Zbl 1333.94015
Boche, Holger; Calderbank, Robert; Kutyniok, Gitta; Vybíral, Jan |
|
2015
|
Sparsity and spectral properties of dual frames. Zbl 1280.42026
Krahmer, Felix; Kutyniok, Gitta; Lemvig, Jakob |
|
2013
|
Image separation using wavelets and shearlets. Zbl 1345.94007
Kutyniok, Gitta; Lim, Wang-Q |
|
2012
|
A generalization of Gram-Schmidt orthogonalization generating all Parseval frames. Zbl 1118.65027
Casazza, Peter G.; Kutyniok, Gitta |
|
2007
|
Wilson bases for general time-frequency lattices. Zbl 1090.94008
Kutyniok, Gitta; Strohmer, Thomas |
|
2005
|
Fusion frames. Zbl 1261.42048
Casazza, Peter G.; Kutyniok, Gitta |
|
2013
|
Scalable frames and convex geometry. Zbl 1307.42029
Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich |
|
2014
|
Extraction of digital wavefront sets using applied harmonic analysis and deep neural networks. Zbl 1439.35009
Andrade-Loarca, Hector; Kutyniok, Gitta; Öktem, Ozan; Petersen, Philipp C. |
|
2019
|
Gabor shearlets. Zbl 1304.42084
Bodmann, Bernhard G.; Kutyniok, Gitta; Zhuang, Xiaosheng |
|
2015
|
Geometric separation by single-pass alternating thresholding. Zbl 1357.42033
Kutyniok, Gitta |
|
2014
|
Cartoon approximation with \(\alpha\)-curvelets. Zbl 1359.42018
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin |
|
2016
|
Optimal compressive imaging of Fourier data. Zbl 1437.94043
Kutyniok, Gitta; Lim, Wang-Q |
|
2018
|
Affine density, frame bounds, and the admissibility condition for wavelet frames. Zbl 1124.42027
Kutyniok, Gitta |
|
2007
|
Digital shearlet transforms. Zbl 1255.94021
Kutyniok, Gitta; Lim, Wang-Q; Zhuang, Xiaosheng |
|
2012
|
Linear independence of time-frequency shifts under a generalized Schrödinger representation. Zbl 0997.43006
Kutyniok, Gitta |
|
2002
|
A qualitative uncertainty principle for functions generating a Gabor frame on LCA groups. Zbl 1023.43003
Kutyniok, Gitta |
|
2003
|
Measures of scalability. Zbl 1359.94307
Chen, Xuemei; Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich; Wang, Rongrong |
|
2015
|
Compressed sensing for finite-valued signals. Zbl 1370.94153
Keiper, Sandra; Kutyniok, Gitta; Lee, Dae Gwan; Pfander, Götz E. |
|
2017
|
The computational complexity of understanding binary classifier decisions. Zbl 1512.68116
Wäldchen, Stephan; Macdonald, Jan; Hauch, Sascha; Kutyniok, Gitta |
|
2021
|
Operators and frames. Zbl 1289.42088
Cahill, Jameson; Casazza, Peter G.; Kutyniok, Gitta |
|
2013
|
PROMP: a sparse recovery approach to lattice-valued signals. Zbl 1408.94862
Flinth, Axel; Kutyniok, Gitta |
|
2018
|
\(\ell^1\)-analysis minimization and generalized (co-)sparsity: when does recovery succeed? Zbl 1460.94021
Genzel, Martin; Kutyniok, Gitta; März, Maximilian |
|
2021
|
Efficient resolution of anisotropic structures. Zbl 1317.65251
Dahmen, Wolfgang; Huang, Chunyan; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit |
|
2014
|
Irregular shearlet frames: Geometry and approximation properties. Zbl 1226.42030
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q |
|
2011
|
Time-frequency analysis on locally compact groups. Zbl 0971.43001
Kutyniok, Gitta |
|
2000
|
Ambiguity functions, Wigner distributions and Cohen’s class for LCA groups. Zbl 1032.43002
Kutyniok, Gitta |
|
2003
|
The Zak transform on certain locally compact groups. Zbl 1079.43009
Kutyniok, Gitta |
|
2002
|
The effect of perturbations of operator-valued frame sequences and fusion frames on their duals. Zbl 1383.42031
Kutyniok, Gitta; Paternostro, Victoria; Philipp, Friedrich |
|
2017
|
A decomposition theorem for frames and the Feichtinger conjecture. Zbl 1155.46010
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin; Tremain, Janet C. |
|
2008
|
Clustered sparsity and separation of cartoon and texture. Zbl 1280.42036
Kutyniok, Gitta |
|
2013
|
A weak qualitative uncertainty principle for compact groups. Zbl 1031.43003
Kutyniok, Gitta |
|
2003
|
Adaptive anisotropic Petrov-Galerkin methods for first order transport equations. Zbl 1435.65197
Dahmen, Wolfgang; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit |
|
2018
|
Density of frames and Schauder bases of windowed exponentials. Zbl 1214.42070
Heil, Christopher; Kutyniok, Gitta |
|
2008
|
A redundant version of the Rado-Horn theorem. Zbl 1103.15001
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin |
|
2006
|
Shearlets and optimally sparse approximations. Zbl 1251.42008
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q |
|
2012
|
The modern mathematics of deep learning. Zbl 1520.68165
Berner, Julius; Grohs, Philipp; Kutyniok, Gitta; Petersen, Philipp |
|
2023
|
Expressivity of deep neural networks. Zbl 1523.68080
Gühring, Ingo; Raslan, Mones; Kutyniok, Gitta |
|
2023
|
Parabolic molecules: Curvelets, shearlets, and beyond. Zbl 1331.42038
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin |
|
2014
|
From wavelets to shearlets and back again. Zbl 1227.65139
Kutyniok, Gitta; Sauer, Tomas |
|
2008
|
Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Zbl 1320.94007
|
|
2015
|
Beurling density and shift-invariant weighted irregular Gabor systems. Zbl 1156.42311
Kutyniok, Gitta |
|
2006
|
Shearlets on bounded domains. Zbl 1253.42035
Kutyniok, Gitta; Lim, Wang-Q |
|
2012
|
The local integrability condition for wavelet frames. Zbl 1101.42018
Kutyniok, Gitta |
|
2006
|
Shearlets: theory and applications. Zbl 1311.42091
Kutyniok, Gitta; Lim, Wang-Q; Steidl, Gabriele |
|
2014
|
Compressed sensing and its applications. Selected papers of the third international MATHEON conference, TU Berlin, Berlin, Germany, December 4–8, 2017. Zbl 1427.94002
|
|
2019
|
Regularization and numerical solution of the inverse scattering problem using shearlet frames. Zbl 1365.65244
Kutyniok, Gitta; Mehrmann, Volker; Petersen, Philipp C. |
|
2017
|
Dualizable shearlet frames and sparse approximation. Zbl 1366.65119
Kutyniok, Gitta; Lim, Wang-Q |
|
2016
|
Mini-workshop: Shearlets. Abstracts from the mini-workshop held October 3rd – October 9th, 2010. Zbl 1235.00037
|
|
2010
|
Analysis of simultaneous inpainting and geometric separation based on sparse decomposition. Zbl 07528664
Do, Van Tiep; Levie, Ron; Kutyniok, Gitta |
|
2022
|
The modern mathematics of deep learning. Zbl 1520.68165
Berner, Julius; Grohs, Philipp; Kutyniok, Gitta; Petersen, Philipp |
|
2023
|
Expressivity of deep neural networks. Zbl 1523.68080
Gühring, Ingo; Raslan, Mones; Kutyniok, Gitta |
|
2023
|
Limitations of deep learning for inverse problems on digital hardware. Zbl 07884100
Boche, Holger; Fono, Adalbert; Kutyniok, Gitta |
|
2023
|
The mathematics of artificial intelligence. Zbl 1535.68295
Kutyniok, Gitta |
|
2023
|
A theoretical analysis of deep neural networks and parametric PDEs. Zbl 07493717
Kutyniok, Gitta; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold |
|
2022
|
Approximation spaces of deep neural networks. Zbl 1491.82017
Gribonval, Rémi; Kutyniok, Gitta; Nielsen, Morten; Voigtlaender, Felix |
|
2022
|
Analysis of simultaneous inpainting and geometric separation based on sparse decomposition. Zbl 07528664
Do, Van Tiep; Levie, Ron; Kutyniok, Gitta |
|
2022
|
Deep microlocal reconstruction for limited-angle tomography. Zbl 07522506
Andrade-Loarca, Héctor; Kutyniok, Gitta; Öktem, Ozan; Petersen, Philipp |
|
2022
|
Numerical solution of the parametric diffusion equation by deep neural networks. Zbl 1473.35331
Geist, Moritz; Petersen, Philipp; Raslan, Mones; Schneider, Reinhold; Kutyniok, Gitta |
|
2021
|
The modern mathematics of deep learning.
(Die moderne Mathematik des tiefen Lernens.) Zbl 07571594
Berner, Julius; Grohs, Philipp; Kutyniok, Gitta; Petersen, Philipp |
|
2021
|
The computational complexity of understanding binary classifier decisions. Zbl 1512.68116
Wäldchen, Stephan; Macdonald, Jan; Hauch, Sascha; Kutyniok, Gitta |
|
2021
|
\(\ell^1\)-analysis minimization and generalized (co-)sparsity: when does recovery succeed? Zbl 1460.94021
Genzel, Martin; Kutyniok, Gitta; März, Maximilian |
|
2021
|
Transferability of spectral graph convolutional neural networks. Zbl 1539.68305
Levie, Ron; Huang, Wei; Bucci, Lorenzo; Bronstein, Michael; Kutyniok, Gitta |
|
2021
|
Error bounds for approximations with deep ReLU neural networks in \(W^{s , p}\) norms. Zbl 1452.41009
Gühring, Ingo; Kutyniok, Gitta; Petersen, Philipp |
|
2020
|
Shearlets as feature extractor for semantic edge detection: the model-based and data-driven realm. Zbl 1472.94004
Andrade-Loarca, Héctor; Kutyniok, Gitta; Öktem, Ozan |
|
2020
|
Anisotropic multiscale systems on bounded domains. Zbl 1442.42076
Grohs, Philipp; Kutyniok, Gitta; Ma, Jackie; Petersen, Philipp; Raslan, Mones |
|
2020
|
Optimal approximation with sparsely connected deep neural networks. Zbl 1499.41029
Bölcskei, Helmut; Grohs, Philipp; Kutyniok, Gitta; Petersen, Philipp |
|
2019
|
Learning the invisible: a hybrid deep learning-shearlet framework for limited angle computed tomography. Zbl 1416.92099
Bubba, Tatiana A.; Kutyniok, Gitta; Lassas, Matti; März, Maximilian; Samek, Wojciech; Siltanen, Samuli; Srinivasan, Vignesh |
|
2019
|
Extraction of digital wavefront sets using applied harmonic analysis and deep neural networks. Zbl 1439.35009
Andrade-Loarca, Hector; Kutyniok, Gitta; Öktem, Ozan; Petersen, Philipp C. |
|
2019
|
Compressed sensing and its applications. Selected papers of the third international MATHEON conference, TU Berlin, Berlin, Germany, December 4–8, 2017. Zbl 1427.94002
|
|
2019
|
Optimal compressive imaging of Fourier data. Zbl 1437.94043
Kutyniok, Gitta; Lim, Wang-Q |
|
2018
|
PROMP: a sparse recovery approach to lattice-valued signals. Zbl 1408.94862
Flinth, Axel; Kutyniok, Gitta |
|
2018
|
Adaptive anisotropic Petrov-Galerkin methods for first order transport equations. Zbl 1435.65197
Dahmen, Wolfgang; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit |
|
2018
|
Classification of edges using compactly supported shearlets. Zbl 1378.42023
Kutyniok, Gitta; Petersen, Philipp |
|
2017
|
Compressed sensing for finite-valued signals. Zbl 1370.94153
Keiper, Sandra; Kutyniok, Gitta; Lee, Dae Gwan; Pfander, Götz E. |
|
2017
|
The effect of perturbations of operator-valued frame sequences and fusion frames on their duals. Zbl 1383.42031
Kutyniok, Gitta; Paternostro, Victoria; Philipp, Friedrich |
|
2017
|
Regularization and numerical solution of the inverse scattering problem using shearlet frames. Zbl 1365.65244
Kutyniok, Gitta; Mehrmann, Volker; Petersen, Philipp C. |
|
2017
|
Compressed sensing and its applications. Second international MATHEON conference, December 2015. Zbl 1388.94005
|
|
2017
|
ShearLab 3D: faithful digital shearlet transforms based on compactly supported shearlets. Zbl 1347.65203
Kutyniok, Gitta; Lim, Wang-Q; Reisenhofer, Rafael |
|
2016
|
\(\alpha\)-Molecules. Zbl 1342.42041
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin |
|
2016
|
Cartoon approximation with \(\alpha\)-curvelets. Zbl 1359.42018
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin |
|
2016
|
Dualizable shearlet frames and sparse approximation. Zbl 1366.65119
Kutyniok, Gitta; Lim, Wang-Q |
|
2016
|
Linear stable sampling rate: optimality of 2D wavelet reconstructions from Fourier measurements. Zbl 1331.42036
Adcock, Ben; Hansen, Anders C.; Kutyniok, Gitta; Ma, Jackie |
|
2015
|
A survey of compressed sensing. Zbl 1333.94015
Boche, Holger; Calderbank, Robert; Kutyniok, Gitta; Vybíral, Jan |
|
2015
|
Gabor shearlets. Zbl 1304.42084
Bodmann, Bernhard G.; Kutyniok, Gitta; Zhuang, Xiaosheng |
|
2015
|
Measures of scalability. Zbl 1359.94307
Chen, Xuemei; Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich; Wang, Rongrong |
|
2015
|
Compressed sensing and its applications. MATHEON workshop, Berlin, Germany, December 2013. Zbl 1320.94007
|
|
2015
|
Parabolic molecules. Zbl 1403.42038
Grohs, Philipp; Kutyniok, Gitta |
|
2014
|
Analysis of inpainting via clustered sparsity and microlocal analysis. Zbl 1362.94007
King, Emily J.; Kutyniok, Gitta; Zhuang, Xiaosheng |
|
2014
|
Asymptotic analysis of inpainting via universal shearlet systems. Zbl 1307.42033
Genzel, Martin; Kutyniok, Gitta |
|
2014
|
Scalable frames and convex geometry. Zbl 1307.42029
Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich |
|
2014
|
Geometric separation by single-pass alternating thresholding. Zbl 1357.42033
Kutyniok, Gitta |
|
2014
|
Efficient resolution of anisotropic structures. Zbl 1317.65251
Dahmen, Wolfgang; Huang, Chunyan; Kutyniok, Gitta; Lim, Wang-Q; Schwab, Christoph; Welper, Gerrit |
|
2014
|
Parabolic molecules: Curvelets, shearlets, and beyond. Zbl 1331.42038
Grohs, Philipp; Keiper, Sandra; Kutyniok, Gitta; Schäfer, Martin |
|
2014
|
Shearlets: theory and applications. Zbl 1311.42091
Kutyniok, Gitta; Lim, Wang-Q; Steidl, Gabriele |
|
2014
|
Sparse matrices in frame theory. Zbl 1306.65082
Krahmer, Felix; Kutyniok, Gitta; Lemvig, Jakob |
|
2014
|
Compressed sensing. Zbl 1336.94022
Kutyniok, Gitta |
|
2014
|
Finite frames. Theory and applications. Zbl 1257.42001
|
|
2013
|
Scalable frames. Zbl 1260.42023
Kutyniok, Gitta; Okoudjou, Kasso A.; Philipp, Friedrich; Tuley, Elizabeth K. |
|
2013
|
Microlocal analysis of the geometric separation problem. Zbl 1261.94007
Donoho, David; Kutyniok, Gitta |
|
2013
|
Introduction to finite frame theory. Zbl 1281.42032
Casazza, Peter G.; Kutyniok, Gitta; Philipp, Friedrich |
|
2013
|
Theory and applications of compressed sensing. Zbl 1283.94018
Kutyniok, Gitta |
|
2013
|
Sparsity and spectral properties of dual frames. Zbl 1280.42026
Krahmer, Felix; Kutyniok, Gitta; Lemvig, Jakob |
|
2013
|
Fusion frames. Zbl 1261.42048
Casazza, Peter G.; Kutyniok, Gitta |
|
2013
|
Operators and frames. Zbl 1289.42088
Cahill, Jameson; Casazza, Peter G.; Kutyniok, Gitta |
|
2013
|
Clustered sparsity and separation of cartoon and texture. Zbl 1280.42036
Kutyniok, Gitta |
|
2013
|
Shearlets. Multiscale analysis for multivariate data. Zbl 1237.42001
|
|
2012
|
Construction of compactly supported shearlet frames. Zbl 1239.42031
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q |
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2012
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Introduction to shearlets. Zbl 1251.42010
Kutyniok, Gitta; Labate, Demetrio |
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2012
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Optimally sparse approximations of 3D functions by compactly supported shearlet frames. Zbl 1252.42043
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q |
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2012
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ShearLab: a rational design of a digital parabolic scaling algorithm. Zbl 1257.42048
Kutyniok, Gitta; Shahram, Morteza; Zhuang, Xiaosheng |
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2012
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Compactly supported shearlets. Zbl 1252.42042
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q |
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2012
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Image separation using wavelets and shearlets. Zbl 1345.94007
Kutyniok, Gitta; Lim, Wang-Q |
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2012
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Digital shearlet transforms. Zbl 1255.94021
Kutyniok, Gitta; Lim, Wang-Q; Zhuang, Xiaosheng |
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2012
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Shearlets and optimally sparse approximations. Zbl 1251.42008
Kutyniok, Gitta; Lemvig, Jakob; Lim, Wang-Q |
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2012
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Shearlets on bounded domains. Zbl 1253.42035
Kutyniok, Gitta; Lim, Wang-Q |
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2012
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Compactly supported shearlets are optimally sparse. Zbl 1226.42031
Kutyniok, Gitta; Lim, Wang-Q |
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2011
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Sparse fusion frames: existence and construction. Zbl 1264.94042
Calderbank, Robert; Casazza, Peter G.; Heinecke, Andreas; Kutyniok, Gitta; Pezeshki, Ali |
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2011
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Optimally sparse frames. Zbl 1365.94059
Casazza, Peter G.; Heinecke, Andreas; Krahmer, Felix; Kutyniok, Gitta |
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2011
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Sparse recovery from combined fusion frame measurements. Zbl 1365.94066
Boufounos, Petros; Kutyniok, Gitta; Rauhut, Holger |
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2011
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Adaptive multiresolution analysis structures and shearlet systems. Zbl 1283.42053
Han, Bin; Kutyniok, Gitta; Shen, Zuowei |
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2011
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A quantitative notion of redundancy for finite frames. Zbl 1211.42027
Bodmann, Bernhard G.; Casazza, Peter G.; Kutyniok, Gitta |
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2011
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Irregular shearlet frames: Geometry and approximation properties. Zbl 1226.42030
Kittipoom, Pisamai; Kutyniok, Gitta; Lim, Wang-Q |
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2011
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Mini-workshop: Shearlets. Abstracts from the mini-workshop held October 3rd – October 9th, 2010. Zbl 1235.00037
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2010
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Resolution of the wavefront set using continuous shearlets. Zbl 1169.42012
Kutyniok, Gitta; Labate, Demetrio |
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2009
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Shearlet coorbit spaces and associated Banach frames. Zbl 1171.42019
Dahlke, Stephan; Kutyniok, Gitta; Steidl, Gabriele; Teschke, Gerd |
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2009
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Robust dimension reduction, fusion frames, and Grassmannian packings. Zbl 1283.42046
Kutyniok, Gitta; Pezeshki, Ali; Calderbank, Robert; Liu, Taotao |
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2009
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Adaptive directional subdivision schemes and shearlet multiresolution analysis. Zbl 1193.42127
Kutyniok, Gitta; Sauer, Tomas |
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2009
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Fusion frames and distributed processing. Zbl 1258.42029
Casazza, Peter G.; Kutyniok, Gitta; Li, Shidong |
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2008
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The uncertainty principle associated with the continuous shearlet transform. Zbl 1257.42047
Dahlke, Stephan; Kutyniok, Gitta; Maass, Peter; Sagiv, Chen; Stark, Hans-Georg; Teschke, Gerd |
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2008
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Robustness of fusion frames under erasures of subspaces and of local frame vectors. Zbl 1256.94017
Casazza, Peter G.; Kutyniok, Gitta |
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2008
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Landau’s necessary density conditions for LCA groups. Zbl 1158.43004
Gröchenig, Karlheinz; Kutyniok, Gitta; Seip, Kristian |
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2008
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Beurling dimension of Gabor pseudoframes for affine subspaces. Zbl 1268.42055
Czaja, Wojciech; Kutyniok, Gitta; Speegle, Darrin |
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2008
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A decomposition theorem for frames and the Feichtinger conjecture. Zbl 1155.46010
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin; Tremain, Janet C. |
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2008
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Density of frames and Schauder bases of windowed exponentials. Zbl 1214.42070
Heil, Christopher; Kutyniok, Gitta |
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2008
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From wavelets to shearlets and back again. Zbl 1227.65139
Kutyniok, Gitta; Sauer, Tomas |
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2008
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Convolution and Wiener amalgam spaces on the affine group. Zbl 1161.43004
Heil, Christopher; Kutyniok, Gitta |
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2008
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A new identity for Parseval frames. Zbl 1136.42308
Balan, Radu; Casazza, Peter G.; Edidin, Dan; Kutyniok, Gitta |
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2007
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Affine density in wavelet analysis. Zbl 1142.42017
Kutyniok, Gitta |
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2007
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The homogeneous approximation property for wavelet frames. Zbl 1133.42049
Heil, Christopher; Kutyniok, Gitta |
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2007
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A generalization of Gram-Schmidt orthogonalization generating all Parseval frames. Zbl 1118.65027
Casazza, Peter G.; Kutyniok, Gitta |
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2007
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Affine density, frame bounds, and the admissibility condition for wavelet frames. Zbl 1124.42027
Kutyniok, Gitta |
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2007
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Sparse multidimensional representations using anisotropic dilation and shear operators. Zbl 1099.65148
Guo, Kanghui; Kutyniok, Gitta; Labate, Demetrio |
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2006
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The geometry of sets of parameters of wave packet frames. Zbl 1095.42020
Czaja, Wojciech; Kutyniok, Gitta; Speegle, Darrin |
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2006
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The theory of reproducing systems on locally compact abelian groups. Zbl 1113.43008
Kutyniok, Gitta; Labate, Demetrio |
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2006
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A redundant version of the Rado-Horn theorem. Zbl 1103.15001
Casazza, Peter G.; Kutyniok, Gitta; Speegle, Darrin |
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2006
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Beurling density and shift-invariant weighted irregular Gabor systems. Zbl 1156.42311
Kutyniok, Gitta |
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2006
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The local integrability condition for wavelet frames. Zbl 1101.42018
Kutyniok, Gitta |
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2006
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Wilson bases for general time-frequency lattices. Zbl 1090.94008
Kutyniok, Gitta; Strohmer, Thomas |
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2005
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Frames of subspaces. Zbl 1058.42019
Casazza, Peter G.; Kutyniok, Gitta |
|
2004
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...and 10 more Documents |