Title of article
A Wiener–Tauberian and a Pompeiu type theorems on the Laguerre hypergroup
Author/Authors
Nessibi، نويسنده , , M.M. and Selmi، نويسنده , , B.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
12
From page
232
To page
243
Abstract
A Wiener–Tauberian theorem is proven on the Laguerre hypergroup [M.M. Nessibi, K. Trimèche, Inversion of the Radon transform on the Laguerre hypergroup by using generalized wavelets, J. Math. Anal. Appl. 208 (1997) 337–363]. As consequence of this theorem we establish a Pompeiu type-theorem and we study some of its applications.
Keywords
Wiener–Tauberian theorem , Pompeiu problem , hypergroups , Laguerre hypergroup , Translation operators , convolution , Fourier transform
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1559625
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