μ-convexity and generalized spherical mean value operators on Euclidean space (Prospects in microlocal analysis and asymptotic analysis)

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Description

We briefly report the results of [15], in which we consider the Neumann version of the spherical mean value operator and its variants in the spaces of smooth functions, distributions and compactly supported ones. The notion of μ-convexity for supports and singular supports is essential in our argument. Our treatment of it in the present paper is slightly more general than that in [15]. In §7, we calculate the Fourier transform of the kernel of the spherical mean value operator for the sake of completeness.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2302 184-192, 2025-01

    京都大学数理解析研究所

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Details 詳細情報について

  • CRID
    1050587218750083968
  • NII Book ID
    AN00061013
  • HANDLE
    2433/296949
  • ISSN
    18802818
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • IRDB

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