×
Edit Profile (opens in new tab)

zu Castell, Wolfgang

Co-Author Distance
Author ID: zu-castell.wolfgang Recent zbMATH articles by "zu Castell, Wolfgang"
Published as: zu Castell, Wolfgang; zu Castell, W.; Castell, W. Zu; Castell, Wolfgang zu; Castell, Wolfgang Zu
External Links: MGP · ORCID
Documents Indexed: 27 Publications since 1998
2 Contributions as Editor
Reviewing Activity: 37 Reviews
Co-Authors: 34 Co-Authors with 23 Joint Publications
926 Co-Co-Authors
all top 5

Co-Authors

6 single-authored
9 Filbir, Frank-Dieter
6 Beatson, Rick K.
4 Xu, Yuan
3 Berens, Hubert Anton
2 Berschneider, Georg Josef
2 Schrödl, Stefan J.
1 Alimov, Alexey R.
1 Ansorg, Marcus
1 Berdysheva, Elena E.
1 Blöchi, Florian
1 Bossmann, Florian
1 Butzer, Paul Leo
1 Dahmen, Wolfgang A.
1 DeVore, Ronald A.
1 Ehrich, Sven
1 Forster-Heinlein, Brigitte
1 Iwen, Mark A.
1 Jetter, Kurt
1 Kahnt, Maik
1 Laín Fernández, Noemí
1 Mhaskar, Hrushikesh N.
1 Nevai, Paul G.
1 Saab, Rayan
1 Sauer, Tomas
1 Schroer, Christian G.
1 Schumaker, Larry L.
1 Sissouno, Nada
1 Slawski, Martin
1 Sommer, Manfred
1 Strauss, Hans
1 Szwarc, Ryszard
1 Theis, Fabian Joachim
1 Tutz, Gerhard E.
1 Wittmann, Dominik M.
all top 5

Serials

5 Journal of Approximation Theory
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 IMA Journal of Numerical Analysis
1 Journal of Mathematical Analysis and Applications
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Acta Scientiarum Mathematicarum
1 Calcolo
1 Journal of Computational and Applied Mathematics
1 Journal of Multivariate Analysis
1 Mathematics and Computers in Simulation
1 Results in Mathematics
1 Constructive Approximation
1 SIAM Journal on Scientific Computing
1 Advances in Computational Mathematics
1 Integral Transforms and Special Functions
1 The Annals of Applied Statistics
1 International Journal of Biomathematics and Biostatistics
all top 5

Fields

18 Harmonic analysis on Euclidean spaces (42-XX)
12 Approximations and expansions (41-XX)
11 Special functions (33-XX)
6 Numerical analysis (65-XX)
5 Abstract harmonic analysis (43-XX)
5 Statistics (62-XX)
4 Real functions (26-XX)
4 Integral transforms, operational calculus (44-XX)
2 General and overarching topics; collections (00-XX)
2 Operator theory (47-XX)
2 Probability theory and stochastic processes (60-XX)
2 Biology and other natural sciences (92-XX)
1 History and biography (01-XX)
1 Ordinary differential equations (34-XX)
1 Sequences, series, summability (40-XX)
1 Functional analysis (46-XX)
1 Computer science (68-XX)
1 Geophysics (86-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

22 Publications have been cited 124 times in 101 Documents Cited by ▼ Year ▼
A Pólya criterion for (strict) positive-definiteness on the sphere. Zbl 1303.42006
Beatson, R. K.; zu Castell, Wolfgang; Xu, Yuan
19
2014
Feature selection guided by structural information. Zbl 1194.62092
Slawski, Martin; Castell, Wolfgang Zu; Tutz, Gerhard
17
2010
Radial basis functions and corresponding zonal series expansions on the sphere. Zbl 1063.42017
zu Castell, W.; Filbir, F.
14
2005
Strictly positive definite functions in \(\mathbb R^{d}\). Zbl 1078.42015
zu Castell, Wolfgang; Filbir, Frank; Szwarc, Ryszard
9
2005
Dimension hopping and families of strictly positive definite zonal basis functions on spheres. Zbl 1371.41023
Beatson, R. K.; zu Castell, W.
9
2017
Hypergeometric functions as a tool for summability of the Fourier integral. Zbl 0908.33003
Berens, Hubert; zu Castell, Wolfgang
8
1998
Cesàro means of Jacobi expansions on the parabolic biangle. Zbl 1184.26027
Castell, W. Zu; Filbir, F.; Xu, Y.
5
2009
Polynomial interpolation on the unit sphere. II. Zbl 1109.41004
zu Castell, Wolfgang; Laín Fernández, Noemí; Xu, Yuan
5
2007
Conditionally positive definite kernels and Pontryagin spaces. Zbl 1154.41003
Berschneider, Georg; zu Castell, Wolfgang
5
2008
Dirichlet splines as fractional integrals of \(B\)-splines. Zbl 1032.41005
zu Castell, Wolfgang
5
2002
One-step recurrences for stationary random fields on the sphere. Zbl 1347.42009
Beatson, R. K.; zu Castell, W.
5
2016
Function spaces for conditionally positive definite operator-valued kernels. Zbl 1323.46020
Berschneider, Georg; Castell, Wolfgang zu; Schrödl, Stefan J.
3
2012
On a theorem of T. Gneiting on \(\alpha\)-symmetric multivariate characteristic functions. Zbl 0966.33002
zu Castell, Wolfgang
3
2000
Recurrence relations for radial positive definite functions. Zbl 1014.42007
zu Castell, Wolfgang
3
2002
A direct solver for the phase retrieval problem in ptychographic imaging. Zbl 1510.65341
Sissouno, Nada; Boßmann, Florian; Filbir, Frank; Iwen, Mark; Kahnt, Maik; Saab, Rayan; Schroer, Christian; zu Castell, Wolfgang
3
2020
Scattered data interpolation of Radon data. Zbl 1214.43009
Beatson, R. K.; zu Castell, W.
2
2011
Kernel-based methods for vector-valued data with correlated components. Zbl 1232.41001
Beatson, R. K.; Castell, W. Zu; Schrödl, S. J.
2
2011
Thinplate splines on the sphere. Zbl 1400.41009
Beatson, Rick K.; zu Castell, Wolfgang
2
2018
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan
2
2015
Generalized Bessel functions for \(p\)-radial functions. Zbl 1135.33003
zu Castell, Wolfgang
1
2008
Inzell lectures on orthogonal polynomials. Lectures from the 2nd summer school, Inzell, Germany, September 17–21, 2001. Zbl 1113.42002
1
2005
de la Vallée Poussin means for the Hankel transform. Zbl 1052.42008
zu Castell, Wolfgang; Filbir, Frank
1
2003
A direct solver for the phase retrieval problem in ptychographic imaging. Zbl 1510.65341
Sissouno, Nada; Boßmann, Florian; Filbir, Frank; Iwen, Mark; Kahnt, Maik; Saab, Rayan; Schroer, Christian; zu Castell, Wolfgang
3
2020
Thinplate splines on the sphere. Zbl 1400.41009
Beatson, Rick K.; zu Castell, Wolfgang
2
2018
Dimension hopping and families of strictly positive definite zonal basis functions on spheres. Zbl 1371.41023
Beatson, R. K.; zu Castell, W.
9
2017
One-step recurrences for stationary random fields on the sphere. Zbl 1347.42009
Beatson, R. K.; zu Castell, W.
5
2016
In memoriam: Hubert A. Berens (1936–2015). Zbl 1319.01021
Alimov, Alexey; Berdysheva, Elena; Butzer, Paul; zu Castell, Wolfgang; Dahmen, Wolfgang; DeVore, Ron; Filbir, Frank; Jetter, Kurt; Mhaskar, Hrushikesh; Nevai, Paul; Sauer, Tomas; Schumaker, Larry; Sommer, Manfred; Strauss, Hans; Xu, Yuan
2
2015
A Pólya criterion for (strict) positive-definiteness on the sphere. Zbl 1303.42006
Beatson, R. K.; zu Castell, Wolfgang; Xu, Yuan
19
2014
Function spaces for conditionally positive definite operator-valued kernels. Zbl 1323.46020
Berschneider, Georg; Castell, Wolfgang zu; Schrödl, Stefan J.
3
2012
Scattered data interpolation of Radon data. Zbl 1214.43009
Beatson, R. K.; zu Castell, W.
2
2011
Kernel-based methods for vector-valued data with correlated components. Zbl 1232.41001
Beatson, R. K.; Castell, W. Zu; Schrödl, S. J.
2
2011
Feature selection guided by structural information. Zbl 1194.62092
Slawski, Martin; Castell, Wolfgang Zu; Tutz, Gerhard
17
2010
Cesàro means of Jacobi expansions on the parabolic biangle. Zbl 1184.26027
Castell, W. Zu; Filbir, F.; Xu, Y.
5
2009
Conditionally positive definite kernels and Pontryagin spaces. Zbl 1154.41003
Berschneider, Georg; zu Castell, Wolfgang
5
2008
Generalized Bessel functions for \(p\)-radial functions. Zbl 1135.33003
zu Castell, Wolfgang
1
2008
Polynomial interpolation on the unit sphere. II. Zbl 1109.41004
zu Castell, Wolfgang; Laín Fernández, Noemí; Xu, Yuan
5
2007
Radial basis functions and corresponding zonal series expansions on the sphere. Zbl 1063.42017
zu Castell, W.; Filbir, F.
14
2005
Strictly positive definite functions in \(\mathbb R^{d}\). Zbl 1078.42015
zu Castell, Wolfgang; Filbir, Frank; Szwarc, Ryszard
9
2005
Inzell lectures on orthogonal polynomials. Lectures from the 2nd summer school, Inzell, Germany, September 17–21, 2001. Zbl 1113.42002
1
2005
de la Vallée Poussin means for the Hankel transform. Zbl 1052.42008
zu Castell, Wolfgang; Filbir, Frank
1
2003
Dirichlet splines as fractional integrals of \(B\)-splines. Zbl 1032.41005
zu Castell, Wolfgang
5
2002
Recurrence relations for radial positive definite functions. Zbl 1014.42007
zu Castell, Wolfgang
3
2002
On a theorem of T. Gneiting on \(\alpha\)-symmetric multivariate characteristic functions. Zbl 0966.33002
zu Castell, Wolfgang
3
2000
Hypergeometric functions as a tool for summability of the Fourier integral. Zbl 0908.33003
Berens, Hubert; zu Castell, Wolfgang
8
1998
all cited Publications top 5 cited Publications
all top 5

Cited by 168 Authors

9 Porcu, Emilio
7 zu Castell, Wolfgang
6 Menegatto, Valdir Antonio
4 Guella, Jean Carlo
4 Peron, Ana Paula
4 Sun, Xingping
3 Berdysheva, Elena E.
3 Berens, Hubert Anton
3 Ma, Chunsheng
2 Beatson, Rick K.
2 Berschneider, Georg Josef
2 Bissiri, Pier Giovanni
2 Buhmann, Martin Dietrich
2 Butzer, Paul Leo
2 Emery, Xavier
2 Erb, Wolfgang
2 Filbir, Frank-Dieter
2 Fotopoulos, Stergios B.
2 Furrer, Reinhard
2 Harezlak, Jaroslaw
2 Jäger, Janin
2 Marrero, Isabel
2 Massa, Eugenio
2 Mirzaei, Davoud
2 Narcowich, Francis J.
2 Randolph, Timothy W.
2 Santin, Gabriele
2 Slawski, Martin
2 Stens, Rudolf L.
2 Ward, Joseph Dinneen
2 Xu, Yuan
1 Aghaeepour, Nima
1 Alegria, Alfredo
1 Alharbi, Wedad R.
1 Arafat, Ahmed
1 Arteaga, Cristian
1 Azevedo, Douglas R. M.
1 Ballani, Felix
1 Barbosa, Victor S.
1 Barucq, Hélène
1 Ben Salem, Nejib
1 Bingham, Nicholas Hugh
1 Brüning, Jochen
1 Brzyski, Damian
1 Calandra, Henri
1 Carillo, Sandra
1 Chen, Zhenzhong
1 Chiquet, Julien
1 Chouchene, Frej
1 Ciaurri, Óscar
1 Ciuperca, Gabriela
1 Cohl, Howard Saul
1 Conti, Costanza
1 Cuong, Le Ngoc
1 Daiya, Jitendra
1 Davydov, Oleg V.
1 De Iaco, Sandra
1 De Marchi, Stefano
1 Diaz, Julien
1 Dzemidzic, Mario
1 El Anbari, Mohammed
1 Feng, Han
1 Feng, Ziding
1 Forster-Heinlein, Brigitte
1 Forstner, Anton
1 Frambati, Stefano
1 Franca, Willian
1 Freeman, Daniel H. jun.
1 Fuselier, Edward J.
1 Ge, Yan
1 Geller, Daryl
1 Genton, Marc G.
1 Geyler, Vladimir A.
1 Ghoreishi, Dorsa
1 Gneiting, Tilmann
1 Goñi, Joaquín
1 Gregori, Pablo
1 Haasdonk, Bernard
1 Haouala, Iness
1 Hastie, Trevor John
1 Hernández-Lobato, Daniel
1 Hernández-Lobato, Jose Miguel
1 Iske, Armin
1 Jézéquel, Pascal
1 Jørgensen, Palle E. T.
1 Józiak, Paweł
1 Kaishev, Vladimir K.
1 Karaś, Marta
1 Keiner, Jens
1 Khorram, Farzaneh
1 Kleiber, William
1 Krahmer, Felix
1 Kumar, Dinesh
1 Kunis, Stefan
1 Levesley, Jeremy
1 Levina, Elizaveta
1 Li, Tianxi
1 Liang, Xuezhang
1 Liu, Zexin
1 Lois, Claire
...and 68 more Authors
all top 5

Cited in 68 Serials

10 Journal of Approximation Theory
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Statistics & Probability Letters
3 Journal of Mathematical Analysis and Applications
3 Proceedings of the American Mathematical Society
2 Journal of Multivariate Analysis
2 Numerical Functional Analysis and Optimization
2 Stochastic Analysis and Applications
2 Applied Numerical Mathematics
2 Constructive Approximation
2 Pattern Recognition
2 Advances in Computational Mathematics
2 Analysis and Applications (Singapore)
2 Statistics and Computing
1 Analysis Mathematica
1 The Canadian Journal of Statistics
1 Computers & Mathematics with Applications
1 Inverse Problems
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Linear and Multilinear Algebra
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Biometrics
1 Calcolo
1 Computing
1 International Statistical Review
1 Journal of Functional Analysis
1 Journal of Statistical Planning and Inference
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Monatshefte für Mathematik
1 Results in Mathematics
1 SIAM Journal on Numerical Analysis
1 Acta Mathematica Hungarica
1 Statistics
1 Journal of Complexity
1 Statistical Science
1 Communications in Statistics. Theory and Methods
1 Expositiones Mathematicae
1 Computational Statistics and Data Analysis
1 SIAM Journal on Scientific Computing
1 Russian Journal of Mathematical Physics
1 Applied and Computational Harmonic Analysis
1 Statistical Papers
1 Computational and Applied Mathematics
1 Filomat
1 Statistica Sinica
1 Integral Transforms and Special Functions
1 Bernoulli
1 The Journal of Fourier Analysis and Applications
1 The Ramanujan Journal
1 Mathematical Finance
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Extremes
1 Journal of Machine Learning Research (JMLR)
1 Mediterranean Journal of Mathematics
1 Electronic Journal of Statistics
1 The Annals of Applied Statistics
1 Wiley Interdisciplinary Reviews. WIREs Computational Statistics
1 Dolomites Research Notes on Approximation
1 Bayesian Analysis
1 Journal of the Operations Research Society of China
1 Proceedings of the American Mathematical Society. Series B
1 AIMS Mathematics
1 Mathematics in Engineering
1 Sampling Theory, Signal Processing, and Data Analysis
all top 5

Cited in 32 Fields

37 Harmonic analysis on Euclidean spaces (42-XX)
28 Statistics (62-XX)
26 Approximations and expansions (41-XX)
25 Special functions (33-XX)
17 Numerical analysis (65-XX)
16 Probability theory and stochastic processes (60-XX)
8 Real functions (26-XX)
8 Abstract harmonic analysis (43-XX)
8 Functional analysis (46-XX)
5 Computer science (68-XX)
4 Operator theory (47-XX)
4 Information and communication theory, circuits (94-XX)
3 Number theory (11-XX)
3 Functions of a complex variable (30-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Geophysics (86-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Partial differential equations (35-XX)
2 Sequences, series, summability (40-XX)
2 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
2 Quantum theory (81-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Global analysis, analysis on manifolds (58-XX)

Citations by Year