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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Veröffentlicht in:	Journal of mathematical analysis and applications 2006, Vol.313 (1), p.64-83
Hauptverfasser:	Albeverio, S., Khrennikov, A.Y., Shelkovich, V.M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Associated homogeneous p-adic distributions (generalized functions) distributions MATEMATIK MATHEMATICS
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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