Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1801-90
Keywords
Wiener Tauberian theorem, Paley-Wiener theorem, convolution, asymptotic behavior, Young inequality
First Page
1124
Last Page
1147
Recommended Citation
CASTRO, L. P, GUERRA, R. C, & TUAN, N. M (2019). On Wiener's Tauberian theorems and convolution for oscillatory integral operators. Turkish Journal of Mathematics 43 (3): 1124-1147. https://doi.org/10.3906/mat-1801-90
