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ファイル | 記述 | サイズ | フォーマット | |
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B75-05.pdf | 6.35 MB | Adobe PDF | 見る/開く |
タイトル: | An algorithmic study on the integration of holonomic hyperfunctions - oscillatory integrals and a phase space integral associated with a Feynman diagram (New development of microlocal analysis and singular perturbation theory) |
著者: | Oaku, Toshinori |
著者名の別形: | オオアク, トシノリ |
キーワード: | 14F10 42B20 81Q30 holonomic system hyperfunction algorithm oscillatory integral Feynman integral |
発行日: | Jun-2019 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B75 |
開始ページ: | 41 |
終了ページ: | 60 |
抄録: | Let u(x, y) be a generalized function which satisfies a holonomic system M of linear differential equations with polynomial coefficients. Suppose that u(x, y) is integrable with respect to x and let v(y) be its integral. We give asufficient condition for v(y) to satisfy the D - module theoretic integration module of M, which can be computed algorithmically. We present some examples related to oscillatory integrals and Cutkosky - type phase space integrals associated with Feynman diagrams |
記述: | "New development of microlocal analysis and singular perturbation theory". October 3-7, 2016. edited by Naofumi Honda and Yasunori Okada. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2019 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/244770 |
出現コレクション: | B75 New development of microlocal analysis and singular perturbation theory |
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