Wiener-type Tauberian theorems for Fourier hyperfunctions

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Назив:	Wiener-type Tauberian theorems for Fourier hyperfunctions
Аутори:	Pilipović, Stevan Stanković B.
Датум издавања:	1-јан-2002
Часопис:	Zeitschrift fur Analysis und ihre Anwendung
Сажетак:	Two Wiener-type Tauberian theorems concerning Fourier hyperfunctions are proved and commented. It is shownt that the shift asymptotics (S-asymptotics) of a hyperfunction f is determined by the ordinary asympiotics of (f * K)(x) as x → ∞, where K is Hörmaner's kernel. Moreover, Wiener-type theorems are used for the asympthotic analysis of solutions to some (pseudo-)differential equations.
URI:	https://open.uns.ac.rs/handle/123456789/10803
ISSN:	02322064
DOI:	10.4171/ZAA/1124
Налази се у колекцијама:	PMF Publikacije/Publications