Fourier, Fourier-Bessel and Radon transforms
type: Item
instance of: scholarly article
title: Fourier, Fourier-Bessel and Radon transforms
zbMATH Open document ID: 0972.42004
author: I. A. Kipriyanov
author: L. N. Lyakhov
published in: Doklady Mathematics
publication date: 2001-01-28T00:00:00Z
review text: In this paper an idea of the first author is applied to construct a special Radon transform that is useful in examining integral operators related to the generalized shift. The relations between the Fourier, Fourier-Bessel, and a special Radon transform are established. A description of Lizorkin-type spaces is given by this new transform.
Mathematics Subject Classification ID: 42B10
Mathematics Subject Classification ID: 44A12
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1557352
zbMATH Keywords: weighted \(L_p\)-space
zbMATH Keywords: mixed Fourier-Bessel transform
zbMATH Keywords: Radon transform
zbMATH Keywords: generalized shift
zbMATH Keywords: Lizorkin-type spaces
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1557352