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Author(s): Yakubovich, S
Title: New index transforms with the product of Bessel functions
Issue Date: 2015
Abstract: New index transforms are investigated, which contain as the kernel products of the Bessel and modified Bessel functions. Mapping properties and invertibility in Lebesgue spaces are studied for these operators. Relationships with the Kontorovich-Lebedev and Fourier cosine transforms are established. Inversion theorems are proved. As an application, a solution of the initial value problem for the fourth order partial differential equation, involving the Laplacian is presented.
Subject: Matemática
Scientific areas: Ciências exactas e naturais::Matemática
Natural sciences::Mathematics
Document Type: Artigo em Revista Científica Internacional
Rights: openAccess
Appears in Collections:FCUP - Artigo em Revista Científica Internacional

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