New convolutions with Hermite weight functions

In this paper, we are working with convolutions on the positive half-line, for Lebesgue integrable functions. Six new convolutions are introduced. Factorization identities for these convolutions are derived, upon the use of Fourier sine and cosine transforms and Hermite functions. Such convolutions...

Full description

Bibliographic Details
Main Author: Castro, Luís Pinheiro (author)
Other Authors: Silva, Anabela Sousa (author), Tuan, Nguyen Minh (author)
Format: article
Language:eng
Published: 2022
Subjects:
Convolution
(Sine and cosine) integral transforms
Hermite functions
Factorization property
Integral equations of convolution type
Online Access:http://hdl.handle.net/10773/30663
Country:Portugal
Oai:oai:ria.ua.pt:10773/30663

Internet

http://hdl.handle.net/10773/30663

Similar Items