Open AccessWiener-Type Tauberian Theorems for Fourier Hyperfunctions
Author(s) -
Stevan Pilipović,
Bogoljub Stanković
Publication year - 2002
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/1124
Subject(s) - type (biology) , fourier transform , mathematics , pure mathematics , mathematical analysis , geology , paleontology
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 asymptotics 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.
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