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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
Parseval type identity
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.
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

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