A criterion of sampling theorems on Banach function spaces

DOI10.3836/tjm/1374497515zbMath1348.42021OpenAlexW2024154377MaRDI QIDQ367016

Mitsuo Izuki, Yoshihiro Sawano

Publication date: 25 September 2013

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1374497515

zbMATH Keywords

waveletBanach function spacesampling theoremvariable exponent\(A_p\) weight

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Sampling theory in information and communication theory (94A20)

Related Items (2)

The reproducing kernel viewpoints of general Ritz-Galerkin approximation ⋮ Real analysis without using the Hardy–Littlewood maximal operator

Cites Work

• Continuous characterizations of Besov-Lizorkin-Triebel spaces and new interpretations as coorbits
• Interpolation and sampling: E. T. Whittaker, K. Ogura and their followers
• Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type
• A discrete transform and decompositions of distribution spaces
• Whittaker-Kotelnikov-Shannon sampling theorem and aliasing error
• Wavelet Bases for Microlocal Filtering and the Sampling Theorem inL_p(Rⁿ)∗
• Wavelet characterization of weighted spaces
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