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https://open.uns.ac.rs/handle/123456789/10803
Title: | Wiener-type Tauberian theorems for Fourier hyperfunctions | Authors: | Pilipović, Stevan Stanković B. |
Issue Date: | 1-Jan-2002 | Journal: | Zeitschrift fur Analysis und ihre Anwendung | Abstract: | 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 |
Appears in Collections: | PMF Publikacije/Publications |
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