- Turkish Journal of Mathematics
- Vol: 43 Issue: 3
- On Wiener's Tauberian theorems and convolution for oscillatory integral operators
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 : 9999-12-31
Article Type : Makaleler
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