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

• Autorzy: Castro L. P. , Saitoh S. , Tuan N. M.
• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

Hilbert space; linear transform; reproducing kernel; linear mapping; convolution; norm inequality; integral equation; Tikhonov regularization

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2012
• Tom: Vol. 32, no. 4
• Strony: 633--646
• Opis fizyczny: Bibliogr. 34 poz.

Twórcy

autor

Castro L. P.

autor

Saitoh S.

autor

Tuan N. M.

• Department of Mathematics and CIDMA–Center for Research and Development in Mathematics and Applications University of Aveiro, 3810–193 Aveiro, Portugal,

Bibliografia

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