Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/30663
Title: | New convolutions with Hermite weight functions |
Author: | Castro, Luís Pinheiro Silva, Anabela Sousa Tuan, Nguyen Minh |
Keywords: | Convolution (Sine and cosine) integral transforms Hermite functions Factorization property Integral equations of convolution type |
Issue Date: | 15-Feb-2021 |
Publisher: | Springer |
Abstract: | 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 allowus to consider systems of convolution type equations on the half-line. Using two different methods, such systems of convolution integral equations will be analyzed. Conditions for their solvability will be considered and, under such conditions, their solutions are obtained. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/30663 |
DOI: | 10.1007/s41980-020-00496-1 |
ISSN: | 1017-060X |
Appears in Collections: | CIDMA - Artigos DMat - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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2021CastroSilvaTuan.pdf | 276.44 kB | Adobe PDF | View/Open |
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