Spherical Radon transform and related wavelet transforms
type: Item
instance of: scholarly article
title: Spherical Radon transform and related wavelet transforms
zbMATH Open document ID: 0915.44004
author: Boris Rubin
published in: Applied and Computational Harmonic Analysis
publication date: 1999-06-28T00:00:00Z
review text: The author introduces the continuous wavelet transform associated with the spherical Radon transform \(Rf\) on the \(n\)-dimensional unit sphere \({\mathbf S}^n\), \(n\geq 2\), where \(f\in L^p({\mathbf S}^n)\) or \(f\in C({\mathbf S}^n)\). Explicit wavelet representations for the spherical Radon transform \(R\) and for its inverse transform \(R^{-1}\) are given. The range of the spherical Radon transform \(R\) is described as well.
Mathematics Subject Classification ID: 44A12
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 1207278
zbMATH Keywords: spherical Radon transform
zbMATH Keywords: wavelet transform
zbMATH Keywords: inverse transform
zbMATH Keywords: range
MaRDI profile type: Publication
full work available at URL: acha.1997.0228
OpenAlex ID: W2011751803
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DOI: 10.1006/ACHA.1997.0228
description: scientific article; zbMATH DE number 1207278