Associated homogeneous p-adic distributions

We introduce a concept of associated homogeneous p-adic distributions (generalized functions) and provide a mathematical description of all associated homogeneous distributions and their Fourier transform. We prove that any associated homogeneous distribution of degree π α ( x ) is periodic in the v...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2006, Vol.313 (1), p.64-83
Main Authors: Albeverio, S., Khrennikov, A.Y., Shelkovich, V.M.
Format: Article
Language:English
Subjects:
Associated homogeneous p-adic distributions (generalized functions)
distributions
MATEMATIK
MATHEMATICS
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Summary:We introduce a concept of associated homogeneous p-adic distributions (generalized functions) and provide a mathematical description of all associated homogeneous distributions and their Fourier transform. We prove that any associated homogeneous distribution of degree π α ( x ) is periodic in the variable α.
ISSN:0022-247X
1096-0813
1096-0813
DOI:10.1016/j.jmaa.2005.05.016