An analogue of Bochner's theorem for Damek-Ricci spaces

Reference : An analogue of Bochner's theorem for Damek-Ricci spaces


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/10758

Title :	An analogue of Bochner's theorem for Damek-Ricci spaces
Language :	English
Author, co-author :	Pusti, Sanjoy [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2013
Journal title :	Journal of Fourier Analysis and Applications
Publisher :	Springer
Volume :	19
Issue/season :	2
Pages :	270–284
Peer reviewed :	Yes
Audience :	International
ISSN :	1069-5869
e-ISSN :	1531-5851
Keywords :	[en] Bochner’s theorem · Positive definite functions · Radially positive definite functions
Abstract :	[en] We characterize the image of radial positive measures $\theta$'s on a harmonic $NA$ group $S$ which satisfies $\int_S\phi_0(x)\,d\theta(x)<\infty$ under the spherical transform, where $\phi_0$ is the elementary spherical function.
Permalink :	http://hdl.handle.net/10993/10758

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