Open AccessConvolutions, integral transforms and integral equations by means of the theory of reproducing kernels
Author(s) -
L. P. Castro,
Saburou Saitoh,
Nguyen Minh Tuan
Publication year - 2012
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2012.32.4.633
Subject(s) - mathematics , integral equation , mathematical analysis , daniell integral , volume integral , fourier integral operator , integral transform
This paper introduces a general concept of convolutions by means of the theory of reproducing kernels which turns out to be useful for several concrete examples and applications. Consequent properties are exposed (including, in particular, associated norm inequalities)
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