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

Authors : Luis Pinheiro De CASTRO, Rita Correia GUERRA, Nguyen Minh TUAN

Pages : 1124-1147

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Publication Date : 0000-00-00

Article Type : Research Paper

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.
Keywords : Wiener Tauberian theorem, Paley Wiener theorem, convolution, asymptotic behavior, Young inequality