μ-convexity and generalized spherical mean value operators on Euclidean space (Prospects in microlocal analysis and asymptotic analysis)
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説明
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.
収録刊行物
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- 数理解析研究所講究録
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数理解析研究所講究録 2302 184-192, 2025-01
京都大学数理解析研究所
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詳細情報 詳細情報について
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- CRID
- 1050587218750083968
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- NII書誌ID
- AN00061013
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- HANDLE
- 2433/296949
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- ISSN
- 18802818
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- IRDB