Fourier transforms of Lipschitz functions on certain Lie groups
type: Item
instance of: scholarly article
title: Fourier transforms of Lipschitz functions on certain Lie groups
zbMATH Open document ID: 1008.43004
DOI: 10.1155/S0161171201005543
author: M. S. Younis
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-04-06T00:00:00Z
full work available at URL: https://eudml.org/doc/49871
review text: The order of magnitude of Fourier transforms is studied. This problem was solved earlier by the author for Lipschitz functions on the groups SU(2) and SU(1,1). In the present paper the same problem is discussed for Lipschitz functions on the special linear group of real matrices of order two, i.e. \(\text{SL} (2,\mathbb{R})\). The main conclusions obtained in \(L^2\) are extended to functions in \(L^p\), \(1<p\leq 2\). The last section is devoted to possible further extensions.
Mathematics Subject Classification ID: 43A30
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 43A15
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 42C99
Mathematics Subject Classification ID: 44A05
zbMATH DE Number: 1740565
zbMATH Keywords: Fourier transforms
zbMATH Keywords: Lipschitz functions
zbMATH Keywords: special linear group
Wikidata QID: Q115243347
MaRDI profile type: Publication
OpenAlex ID: W2154038434
description: scientific article; zbMATH DE number 1740565