Explicit inversion formulas are obtained for the analytic family of fractional integrals (T : f )(x)=# n, : S n |xy| :&1 f ( y) dy on the unit sphere in R n+1 . Arbitrary complex : and n 2 are considered. In the ease :=0 the integral T : f coincides with the spherical Radon transform. For :>1 (:{1,
RectangularR-Transform as the Limit of Rectangular Spherical Integrals
โ Scribed by Florent Benaych-Georges
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 647 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0894-9840
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