A New Form of the Spherical Expansion of Zonal Functions and Fourier Transforms of SO(d)-Finite Functions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A New Form of the Spherical Expansion of Zonal Functions and Fourier Transforms of SO(d)-Finite Functions
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| Creator |
Bezubik, A.
Strasburger, A. |
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| Description |
This paper presents recent results obtained by the authors (partly in collaboration with A. Dabrowska) concerning expansions of zonal functions on Euclidean spheres into spherical harmonics and some applications of such expansions for problems involving Fourier transforms of functions with rotational symmetry. The method used to derive the expansion formula is based entirely on differential methods and completely avoids the use of various integral identities commonly used in this context. Some new identities for the Fourier transform are derived and as a byproduct seemingly new recurrence relations for the classical Bessel functions are obtained.
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| Date |
2019-02-09T16:59:25Z
2019-02-09T16:59:25Z 2006 |
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| Type |
Article
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| Identifier |
A New Form of the Spherical Expansion of Zonal Functions and Fourier Transforms of SO(d)-Finite Functions / A. Bezubik, A. Strasburger // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 13 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 33C55; 42B10; 33C80; 44A15; 44A20 http://dspace.nbuv.gov.ua/handle/123456789/146431 |
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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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