Found 164 Documents (Results 1–100)
Dimensions of Riesz products and pluriharmonic measures. arXiv:2405.14609
Preprint, arXiv:2405.14609 [math.CV] (2024).
Yang-Fourier transforms of Lipschitz local fractional continuous functions. (English) Zbl 1532.42003
On (Fejér-)Riesz type inequalities, Hardy-Littlewood type theorems and smooth moduli. (English) Zbl 1526.42009
Path integral in position-deformed Heisenberg algebra with maximal length uncertainty. (English) Zbl 1533.81069
Exact values of the approximations of differentiable functions by Poisson-type integrals. (English. Ukrainian original) Zbl 1512.42001
Cybern. Syst. Anal. 59, No. 2, 274-282 (2023); translation from Kibern. Sist. Anal. 59, No. 2, 112-121 (2023).
Gegenbauer expansions and addition theorems for a binomial and logarithmic fundamental solution of the even-dimensional Euclidean polyharmonic equation. (English) Zbl 1525.33006
Reviewer: Francisco Pérez Acosta (La Laguna)
Generalizations of Koga’s version of the Wiener-Ikehara theorem. arXiv:2311.03013
Preprint, arXiv:2311.03013 [math.CV] (2023).
Lebesgue boundedness of Riesz potential for \((k,1)\)-generalized Fourier transform with radial piecewise power weights. (Russian. English summary) Zbl 1522.42009
Boundary values in spaces spanned by rational functions and the index of invariant subspaces. (English) Zbl 1527.30022
Reviewer: Stamatis Pouliasis (Thessaloniki)
Approximation of classes \({C}_{\beta, \infty}^{\psi }\) by three-harmonic Poisson integrals in uniform metric (low smoothness). (English. Ukrainian original) Zbl 1507.42003
J. Math. Sci., New York 268, No. 2, 178-191 (2022); translation from Ukr. Mat. Visn. 19, No. 3, 355-372 (2022).
Some boundary Harnack principles with uniform constants. (English) Zbl 1502.60118
Reviewer: Liping Li (Beijing)
Theory of homotopes with applications to mutually unbiased bases, harmonic analysis on graphs, and perverse sheaves. (English. Russian original) Zbl 1484.14033
Russ. Math. Surv. 76, No. 2, 195-259 (2021); translation from Usp. Mat. Nauk 76, No. 2, 3-70 (2021).
On the robust solution of an isogeometric discretization of bilaplacian equation by using multigrid methods. (English) Zbl 1446.65193
Multivariate smooth interpolation that employs polyharmonic functions. (English) Zbl 1463.65010
Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24–29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 140-148 (2019).
Geometric conditions for the \(L^2\)-boundedness of singular integral operators with odd kernels with respect to measures with polynomial growth in \(\mathbb{R}^d\). (English) Zbl 1432.42008
Reviewer: Kangwei Li (Tianjin)
An inverse problem for one-dimensional diffusion equation in optical tomography. (English) Zbl 1424.31002
The {D}irichlet problem in weighted norm. (English) Zbl 1399.42012
Reviewer: Włodzimierz Łenski (Poznań)
A sharp weak-type \((\infty,\infty)\) inequality for the Hilbert transform. (English) Zbl 1354.42010
Reviewer: Yaogan Mensah (Lomé)
On optimal recovery of Dirichlet problem from a boundary function known approximately. (Russian. English summary) Zbl 1474.42004
Corrigendum: best bounds for the Hilbert transform on \(L^p(\mathbb{R}^1)\). (English) Zbl 1404.42010
Fourth order Taylor-Kármán structured covariance tensor for gravity gradient predictions by means of the Hankel transformation. (English) Zbl 1331.31006
Evolution of directional wave spectra through finite regular and randomly perturbed arrays of scatterers. (English) Zbl 1317.31005
Fourier and Gegenbauer expansions for a fundamental solution of Laplace’s equation in hyperspherical geometry. (English) Zbl 1311.31005
On harmonic functions defined by differential operator with respect to \(k\)-symmetric points. (English) Zbl 1486.30025
Characteristic functions as distributional boundary values of analytic functions in tube domains. (English) Zbl 1320.60051
Perron-Frobenius operators and the Klein-Gordon equation. (English) Zbl 1297.42017
Reviewer: Leszek Skrzypczak (Poznań)
Fourier expansions for a logarithmic fundamental solution of the polyharmonic equation. (English) Zbl 1412.35008
Fourier, Gegenbauer and Jacobi expansions for a power-law fundamental solution of the polyharmonic equation and polyspherical addition theorems. (English) Zbl 1270.35009
Delta-subharmonic functions of completely regular gamma-growth in a half-plane. (English. Russian original) Zbl 1282.30021
J. Math. Sci., New York 183, No. 6, 796-809 (2012); translation from Ukr. Mat. Visn. 9, No. 1, 63-80 (2012).
Reviewer: Igor Chyzhykov (Lviv)
On harmonic analysis related with the generalized Dunkl operator. (English) Zbl 1264.43002
Integral Transforms Spec. Funct. 23, No. 8, 609-625 (2012); corrigendum ibid. 23, No. 10, 783 (2012).
Reviewer: Ferenc Weisz (Budapest)
On an inverse problems for Laplace equations with potential terms on electrical networks. (English) Zbl 1300.35145
Fourier and Gegenbauer expansions for a fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry. (English) Zbl 1238.31006
Convergence rate of Steklov means for functions from Sobolev classes on the space of \(p\)-adic numbers. (Russian. English summary) Zbl 1267.11117
A new regularization method for the Cauchy problem of the Helmholtz equation with nonhomogeneous Cauchy data. (English) Zbl 1231.31003
Solvability of a system of dual integral equations of a mixed boundary value problem for the biharmonic equation in a strip. (English) Zbl 1231.35058
Variational forms for the inverses of integral logarithmic operators over an interval. (English. Abridged French version) Zbl 1230.47078
Reviewer: Alexei Yu. Karlovich (Lisboa)
On the convolution with weight-function for the Fourier sine integral transform. (On the convolution with weight-function for the Fourier sin integral transform.) (English) Zbl 1221.31003
Best constant inequalities involving the analytic and co-analytic projection. (English) Zbl 1193.42064
Ball, Joseph A. (ed.) et al., Topics in operator theory. Volume 1: Operators, matrices and analytic functions. Proceedings of the 19th international workshop on operator theory and applications (IWOTA), College of William and Mary, Williamsburg, VA, USA, July 22–26, 2008. A tribute to Israel Gohberg on the occasion of his 80th birthday. Basel: Birkhäuser (ISBN 978-3-0346-0157-3/hbk; 978-3-0346-0163-4/set; 978-3-0346-0158-0/ebook). Operator Theory: Advances and Applications 202, 285-295 (2010).
Boundary derivatives of the phases of inner and outer functions and applications. (English) Zbl 1173.31001
Reviewer: Rauno Aulaskari (Joensuu)
Generalized growth of entire harmonic functions. (English) Zbl 1175.31003
Reviewer: Olof Svensson (Norrköping)
PHLST5: a practical and improved version of polyharmonic local sine transform. (English) Zbl 1523.65026
Partial differential equations on products of Sierpiński gaskets. (English) Zbl 1144.31004
Reviewer: Uta Freiberg (Canberra)
Mono-components for signal decomposition. (English) Zbl 1110.94012
Tao, Qian (ed.) et al., Wavelet analysis and applications. Selected papers based on the presentations at the conference (WAA 2005), Macau, China, 29th November – 2nd December 2005. With CD-ROM. Basel: Birkhäuser (ISBN 3-7643-7777-1/hbk). Applied and Numerical Harmonic Analysis, 299-319 (2007).
Potential theoretic tools in polynomial and rational approximation. (English) Zbl 1146.41001
Fournier, Jean-Daniel (ed.) et al., Harmonic analysis and rational approximation. Their rôles in signals, control and dynamical systems. Berlin: Springer (ISBN 3-540-30922-5/pbk). Lecture Notes in Control and Information Sciences 327, 71-94 (2006).
Reviewer: Marcel G. de Bruin (Haarlem)
Metric properties of harmonic measures. (English) Zbl 1107.31001
Mem. Am. Math. Soc. 867, 163 p. (2006).
Reviewer: Matti Vuorinen (Turku)
Regularity in a singular biharmonic Dirichlet problem. (English) Zbl 1102.31003
Reviewer: Henrik Laurberg Pedersen (Frederiksberg)
The heat semigroup for the Jacobi-Dunkl operator and the related Markov processes. (English) Zbl 1129.42325
Sharp weighted Young’s inequalities and Moser-Trudinger inequalities on Heisenberg type groups and Grushin spaces. (English) Zbl 1099.43006
Reviewer: Koichi Saka (Akita)
Poisson integral representation of some eigenfunctions of Landau Hamiltonian on the hyperbolic disk. (English) Zbl 1136.31302
Jessen function for subharmonic almost periodic functions. (Russian. English summary) Zbl 1101.31002
Strong approximate continuity properties of certain conjugate functions. (English) Zbl 1094.42003
Reviewer: Stephen J. Gardiner (Dublin)
Reconstruction of bandlimited signal from its non-uniform integral samples. (English) Zbl 1136.94317
Subharmonic almost periodic functions. (English) Zbl 1099.31002
Reviewer: Henrik Laurberg Pedersen (Frederiksberg)
Some results on \(Q_p\) spaces, \(0<p<1\), continued. (English) Zbl 1077.30048
Reviewer: Lou Zengjian (Shantou Guangdong)
Optimal recovery of the values of a harmonic function from its Fourier coefficients. (Russian) Zbl 1100.31001
Reviewer: Victor Alexandrov (Novosibirsk)
On the uniqueness problem for Fourier series. (English) Zbl 1068.42007
Reviewer: Ferenc Móricz (Szeged)
On a problem of H. Shapiro. (English) Zbl 1048.31002
Reviewer: Dimitrios Betsakos (Thessaloniki)
Oscillation of Fourier integrals with a spectral gap. (English) Zbl 1080.30025
Reviewer: Saulius Norvidas (Vilnius)
On the nontangential convergence of a metaharmonic semigroup. (Russian. English summary) Zbl 1479.42004
About a property of subharmonic almost periodic functions. (Russian. English summary) Zbl 1039.31002
Strong type estimates for homogeneous Besov capacities. (English) Zbl 1056.31008
Reviewer: Niels Jacob (Swansea)
Best constants for some operators associated with the Fourier and Hilbert transforms. (English) Zbl 1016.42006
On non-isotropic \((\beta,\gamma)\)-distance and generalized Riesz potentials. (English) Zbl 1038.31003
Reviewer: Uwe Kähler (Aveiro)
The Hilbert transform, rearrangements, and logarithmic determinants. (English) Zbl 1018.42003
Żelazko, Wiesław (ed.), Fourier analysis and related topics. Papers of the international symposium dedicated to the memory of A. Rajchman, A. Zygmund and J. Marcinkiewicz, Bȩdlewo, Poland, October 15-21, 2000. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 56, 95-105 (2002).
Reviewer: S.J.Gardiner (Dublin)
On estimation of polynomials in terms of logarithmic sums over powers of integers. (English) Zbl 1028.30020
Proceedings of the fourth international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, September 22-28, 2000. Vol. II. Palermo: Circolo Matemàtico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 68(2), 739-748 (2002).
Reviewer: Y.Avci (İstanbul)
Sharp \(L\log^\alpha L\) inequalities for conjugate functions. (English) Zbl 1053.42012
Reviewer: Kôzô Yabuta (Nishinomiya)
Best constants in Zygmund’s inequality for conjugate functions. (English) Zbl 1051.42007
Heinonen, J. (ed.) et al., Papers on analysis: a volume dedicated to Olli Martio on the occasion of his 60th birthday. Jyväskylä: Univ. Jyväskylä, Institut für Mathematik und Statistik (ISBN 951-39-1120-9/pbk). Ber., Univ. Jyväskylä 83, 73-80 (2001).
Reviewer: Kôzô Yabuta (Nishinomiya)
Fourier series and \(\delta\)-subharmonic functions of finite \(\gamma\)-type in a half-plane. (English. Russian original) Zbl 0996.31001
Sb. Math. 192, No. 6, 843-861 (2001); translation from Mat. Sb. 192, No. 6, 51-70 (2001).
Reviewer: Eleonora Storozhenko (Odessa)
Theoretical and numerical study of a free boundary problem by boundary integral methods. (English) Zbl 0985.35114
Rate of decay of convolution vs. frequency of sign changes. (English) Zbl 1001.31002
Byrnes, James S. (ed.), Twentieth century harmonic analysis–a celebration. Proceedings of the NATO Advanced Study Institute, Il Ciocco, Italy, July 2-15, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 33, 383-384 (2001).
Reviewer: Niels Jacob (Swansea)
On the uncertainty principle in harmonic analysis. (English) Zbl 1025.42004
Byrnes, James S. (ed.), Twentieth century harmonic analysis–a celebration. Proceedings of the NATO Advanced Study Institute, Il Ciocco, Italy, July 2-15, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 33, 3-29 (2001).
Reviewer: Joseph Lakey (Las Cruces)
On approximation of classes of \((\psi,\beta)\)-differentiable functions by biharmonic Poisson operators. (Ukrainian. English summary) Zbl 1030.31003
Kovtunets, V. V. (ed.), Approximation theory and its applications. Proceedings of the international conference dedicated to the memory of Vladislav Kirillovich Dzyadyk held in Kiev, Ukraine, May 27-31, 1999. Kyïv: Instytut Matematyky NAN Ukraïny. Pr. Inst. Mat. Nats. Akad. Nauk Ukr., Mat. Zastos. 31, 227-236 (2000).
Reviewer: A.M.Gomilko (Kyïv)
On the Fourier series of unbounded harmonic functions. (English) Zbl 0956.46019
Reviewer: W.Lusky (Paderborn)
Best constants for the Riesz projection. (English) Zbl 0963.42006
Reviewer: Martin Väth (Würzburg)
Entire functions and logarithmic sums over nonsymmetric sets of the real line. (English) Zbl 0957.30020
Reviewer: P.Z.Agranovich (Khar’kov)
Exakte Größenordnung für das Randverhalten des Poissonschen Integrals von BMO-Funktionen und VMO-Funktionen (The exact asymptotic behaviour of the Poisson integral of BMO and VMO functions). (English) Zbl 1022.31002
Reviewer: Michal Zajac (Bratislava)
Best constant inequalities for conjugate functions. (English) Zbl 0944.42009
Reviewer: K.Yabuta (Nara)
Singular measures with small \(H(p,q)\)-projections. (English) Zbl 1021.43006
Reviewer: Leszek Skrzypczak (Poznań)
Fourier series and \(\delta\)-subharmonic function. (Russian) Zbl 0953.31002
Reviewer: Yu.L.Nosenko (Donetsk)
Henkin measures, Riesz products and singular sets. (English) Zbl 0913.31003
Reviewer: P.Caraman (Iaşi)
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