Moduli of smoothness and growth properties of Fourier transforms : two-sided estimates
Gorbachev, D.
Tikhonov, Sergey Yu.
Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica

Imprint: Centre de Recerca Matemàtica 2011
Description: 22 p.
Abstract: We prove two-sided inequalities between the integral moduli of smoothness of a function on R d[superscript] / T d[superscript] and the weighted tail-type integrals of its Fourier transform/series. Sharpness of obtained results in particular is given by the equivalence results for functions satisfying certain regular conditions. Applications include a quantitative form of the Riemann-Lebesgue lemma as well as several other questions in approximation theory and the theory of function spaces.
Rights: L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: Creative Commons
Language: Anglès.
Series: Centre de Recerca Matemàtica: Prepublicacions del Centre de Recerca Matemàtica
Series: Prepublicacions del Centre de Recerca Matemàtica ; 1092
Document: article ; submittedVersion
Subject: Transformacions de Fourier

Adreça alternativa: https://hdl.handle.net/2072/196879


22 p, 282.9 KB

The record appears in these collections:
Research literature > Preprints

 Record created 2018-10-23, last modified 2019-07-16



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