An Abel-Tauber theorem for Fourier sine transforms

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概要

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• We prove an Abel-Tauber theorem for Fourier sine transforms. It can be considered as the analogue of the Abel-Tauber theorem of Pitman in the boundary case. We apply it to Fourier sine series as well as to the tail behavior of a probability distribution.

• 東京大学の論文

著者

• Inoue Akihiko

  Department Of Mathematics Hokkaido University

• Inoue Akihiko

  Department Of Chemistry Graduate School Of Science Tohoku University

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