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A family of generalized Erdélyi-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 point of view, several extensions are discussed.

Towards a geometric interpretation of generalized fractional integrals — Erdélyi-Kober type integrals on R N, as an example