Hilbert Transforms Associated with Dunkl-Hermite Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Hilbert Transforms Associated with Dunkl-Hermite Polynomials
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| Creator |
Ben Salem, Nejib
Samaali, Taha |
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| Description |
We consider expansions of functions in Lp(R,|x|2kdx), 1 ≤ p < +∞ with respect to Dunkl-Hermite functions in the rank-one setting. We actually define the heat-diffusion and Poisson integrals in the one-dimensional Dunkl setting and study their properties. Next, we define and deal with Hilbert transforms and conjugate Poisson integrals in the same setting. The formers occur to be Calderón-Zygmund operators and hence their mapping properties follow from general results.
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| Date |
2019-02-19T17:59:50Z
2019-02-19T17:59:50Z 2009 |
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| Type |
Article
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| Identifier |
Hilbert Transforms Associated with Dunkl-Hermite Polynomials / N.B. Salem, T. Samaali // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 12 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 42A50; 42C10 http://dspace.nbuv.gov.ua/handle/123456789/149169 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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