To multidimensional Mellin analysis: Besov spaces, \(K\)-functor, approximations, frames

DOI10.1007/S43670-022-00046-2OpenAlexW4318484087MaRDI QIDQ2700168

Isaac Z. Pesenson

Publication date: 20 April 2023

Published in: Sampling Theory, Signal Processing, and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.07485

zbMATH Keywords

modulus of continuityframesPaley-Wiener functions\(K\)-functordirect and inverse approximation theoremsBernsten-Mellin spacesBesov-Mellin spacesLandau-Kolmogorov-Stein inequalityLaplace-Mellin operatormultidimensioal Mellin analysisone-parameter groups of operatorsSobolev-Mellin spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Cites Work

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