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Reference : An analogue of Bochner's theorem for DamekRicci 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 DamekRicci spaces
Language :
English
Author, coauthor :
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 :
10695869
eISSN :
15315851
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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