Jan 22 2014
Towards a geometric interpretation of generalized fractional integrals – Erdelyi-Kober type integrals on R^N as an example
author: R. Herrmann
A family of generalized Erdelyi-Kober type fractional integrals is interpreted geometrically as a distortion of the rotationally invariant integral kernel of the Riesz fractional integral in terms of generalized Cassini ovaloids on R^N . Based on this geometric view, several extensions are discussed.
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