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Opuscula Mathematica
Article . 2012 . Peer-reviewed
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Opuscula Mathematica
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Opuscula Mathematica
Article . 2012
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https://dx.doi.org/10.7494/opm...
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Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 English Publisher:AGHU University of Science and Technology PressJournal:Opuscula Mathematica, volume 32, page 633 (issn: 1232-9274, Copyright policy )
Authors: Luis P. Castro; Saburou Saitoh; Nguyen Minh Tuan;

doi: 10.7494/opmath.2012.32.4.633

Convolutions, integral transforms and integral equations by means of the theory of reproducing kernels

Abstract

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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Keywords

T57-57.97, integral equation, Applied mathematics. Quantitative methods, linear mapping, Tikhonov regularization, reproducing kernel, Hilbert space, convolution, linear transform, norminequality

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Average
Average
Average
Published in a Diamond OA journal