On convolvers and multipliers for classes of functions related to the Fourier-Bessel transform
type: Item
instance of: scholarly article
title: On convolvers and multipliers for classes of functions related to the Fourier-Bessel transform
zbMATH Open document ID: 0972.42003
published in: Doklady Mathematics
publication date: 2001-01-28T00:00:00Z
review text: The Fourier-Bessel transform was used earlier to construct operators inverting the so-called \(B\)-potentials (potentials generated by a generalized translation \(T^y_x\)). The multidimensional form of this translation is used in this paper. There are shown appropriate analogues of the generalized convolver theorem and the multiplier theorem for special classes of functions.
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 46F12
zbMATH DE Number: 1557338
zbMATH Keywords: mixed Fourier-Bessel transform
zbMATH Keywords: generalized translation
zbMATH Keywords: generalized convolver
author: L. N. Lyakhov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1557338