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Explicit inversion formulae for the spherical mean Radon transform

✍ Scribed by Kunyansky, Leonid A

Book ID: 125500719
Publisher: Institute of Physics
Year: 2007
Tongue: English
Weight: 222 KB
Volume: 23
Category: Article
ISSN: 0266-5611
DOI: 10.1088/0266-5611/23/1/021

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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,