On the generalized convolution for Fc, Fs, and K–L integral transforms
We study new generalized convolutions with weight function for the Fourier cosine, Fourier sine, and Kontorovich – Lebedev integral transforms in weighted function spaces with two parameters. These generalized convolutions satisfy the factorization equalities.
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| Datum: | 2012 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Український математичний журнал
2012
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| Schriftenreihe: | Український математичний журнал |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the generalized convolution for Fc, Fs, and K–L integral transforms / N.O. Virchenko, N.X. Thao // Український математичний журнал. — 2012. — Т. 64, № 1. — С. 81-91. — Бібліогр.: 20 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We study new generalized convolutions with weight function for the Fourier cosine, Fourier sine, and Kontorovich – Lebedev integral transforms in weighted function spaces with two parameters. These generalized convolutions satisfy the factorization equalities. |
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