Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/18542
Title: | On a Class of Integral Equations Involving Kernels of Cosine and Sine Type |
Author: | Castro, L. P. Guerra, R. C. Tuan, N. M. |
Keywords: | Integral equation Solvability Parseval type identity Involution Convolution |
Issue Date: | 9-Sep-2017 |
Publisher: | Birkhauser |
Abstract: | We consider a class of integral equations characterized by kernels of cosine and sine type and study their solvability. Moreover, we analyse the integral operator T, which is generating those equations, by identifying its characteristic polynomial, characterizing its invertibility, spectrum, Parseval type identity and involution properties. Additionally, a new convolution is here introduced, associated with T, for which we deduce a corresponding factorization property. |
URI: | http://hdl.handle.net/10773/18542 |
DOI: | 10.1007/978-3-319-59384-5_5 |
ISBN: | 978-3-319-59383-8 |
Appears in Collections: | CIDMA - Capítulo de livro FAAG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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2017Postprint_CastroGuerraTuan.pdf | Chapter | 131.17 kB | Adobe PDF | View/Open |
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