Towards a geometric interpretation of generalized fractional integrals - Erdelyi-Kober type integrals on RN as an example
Abstract
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 RN. Based on this geometric view, several extensions are discussed.
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