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Title: On Wiener’s Tauberian theorems and convolution for oscillatory integral operators
Author: Castro, Luís Pinheiro de
Guerra, Rita Correia
Tuan, Nguyen Minh
Keywords: Wiener Tauberian theorem
Paley–Wiener theorem
Asymptotic behavior
Young inequality
Issue Date: May-2019
Publisher: TÜBİTAK - The Scientific and Technological Research Council of Turkey
Abstract: The main aim of this work is to obtain Paley–Wiener and Wiener’s Tauberian results associated with an oscillatory integral operator, which depends on cosine and sine kernels, as well as to introduce a consequent new convolution. Additionally, a new Young-type inequality for the obtained convolution is proven, and a new Wiener-type algebra is also associated with this convolution.
Peer review: yes
DOI: 10.3906/mat-1801-90
ISSN: 1300-0098
Publisher Version:
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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