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On Inversion of Fractional Spherical Potentials by Spherical Hypersingular Operators

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Singular Integral Operators, Factorization and Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 142))

Abstract

A new proof of the inversion formula for spherical Riesz type fractional potentials in the case 0 <Roi <2 is presented and a constructive reduction of the case lRa > 2 to the case 0 < lia < 2 is given.

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Samko, S. (2003). On Inversion of Fractional Spherical Potentials by Spherical Hypersingular Operators. In: Böttcher, A., Kaashoek, M.A., Lebre, A.B., dos Santos, A.F., Speck, FO. (eds) Singular Integral Operators, Factorization and Applications. Operator Theory: Advances and Applications, vol 142. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8007-7_19

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  • DOI: https://doi.org/10.1007/978-3-0348-8007-7_19

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9401-2

  • Online ISBN: 978-3-0348-8007-7

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