On Wiener’s Tauberian theorems and convolution for oscillatory integral operators | Zendy

L. P. Castro | Zendy; R. C. Guerra | Zendy; Nguyen Minh Tuan | Zendy

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On Wiener’s Tauberian theorems and convolution for oscillatory integral operators

Author(s) -

L. P. Castro,

R. C. Guerra,

Nguyen Minh Tuan

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1801-90

Subject(s) - mathematics , convolution (computer science) , type (biology) , operator (biology) , convolution power , abelian and tauberian theorems , pure mathematics , convolution theorem , circular convolution , algebra over a field , mathematical analysis , fourier transform , ecology , fourier analysis , biochemistry , chemistry , repressor , machine learning , artificial neural network , computer science , transcription factor , gene , fractional fourier transform , biology

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.

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