Weighted integrability of multiplicative Fourier transforms
type: Item
instance of: scholarly article
title: Weighted integrability of multiplicative Fourier transforms
zbMATH Open document ID: 1210.42013
DOI: 10.1134/S0081543810020069
author: Boris Golubov
author: S. S. Volosivets
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2010-11-15T00:00:00Z
review text: The paper extends some results concerning the classical Fourier transform to the multiplicative Fourier transform (MFT) . In particular, the authors give conditions which ensure that a contraction of an MFT is also an MFT, criteria for determining whether a sufficiently smooth function with nonnegative MFT belongs to \(H^\omega\) or \(h^\omega\) (where \(\omega\) is the modulus of continuity), theorems analogous to the Boas conjecture for the Fourier sine and cosine transform and a sufficient condition for the weighted integrability of the MFT of a generalized contraction of a function.
reviewed by: Delfina Roux
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 5816195
zbMATH Keywords: multiplicative Fourier transform
zbMATH Keywords: extended Boas conjecture
zbMATH Keywords: contractions of functions and multiplicative Fourier transform
MaRDI profile type: Publication
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full work available at URL: s0081543810020069
OpenAlex ID: W1974426730
description: scientific article; zbMATH DE number 5816195