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Title: A Bessel differential heat initial value problem in a reproducing kernel Hilbert space framework
Author: Castro, L.P.
Rodrigues, M.M.
Saitoh, S.
Keywords: Integral transform
Isometric mapping
Inversion formula
Initial value problem
Reproducing kernel
Inverse problems
Issue Date: 2014
Publisher: American Institute of Physics
Abstract: For modified Bessel heat equations subjected to an initial condition, we investigate integral transforms with kernels related to the solutions of those equations by using the theory of reproducing kernels. In particular, a new framework within reproducing kernel Hilbert spaces is proposed where we construct the unique solutions of the corresponding initial value problems.
Peer review: yes
DOI: 10.1063/1.4904575
ISSN: 1551-7616
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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