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Integration by Parts Formulae for a General Class of Functions in Boson Fock Spaces
Title: | Integration by Parts Formulae for a General Class of Functions in Boson Fock Spaces |
Authors: | Aihara, Yuta1 Browse this author |
Authors(alt): | 相原, 祐太1 |
Keywords: | functional directional differential operator | integration by parts formula | Gelfand’s triple | Boson Fock space | Q-space representation | strongly continuous one parameter unitary group |
Issue Date: | 18-Sep-2018 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 1115 |
Start Page: | 1 |
End Page: | 19 |
Abstract: | A functional directional differential operator on Boson Fock spaces in the Q-space representation with a Gelfand’s triple is considered. Then, we derive an integration by parts formula on that differential operator by employing the notion of strongly continuous one parameter unitary group. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/71478 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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