Integration by Parts Formulae for a General Class of Functions in Boson Fock Spaces

Aihara, Yuta

Hokkaido University Preprint Series in Mathematics, 2018, 1115, 1-19

Permalink : https://doi.org/10.14943/85635

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アクセス権	open access
DOI	https://doi.org/10.14943/85635
URI	https://hdl.handle.net/2115/71478
タイトル	Integration by Parts Formulae for a General Class of Functions in Boson Fock Spaces
著者	著者名 Aihara, Yuta 相原, 祐太
言語	英語
キーワード	functional directional diﬀerential operator
	integration by parts formula
	Gelfand’s triple
	Boson Fock space
	Q-space representation
	strongly continuous one parameter unitary group
発行日	2018-09-18
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1115
ページ	1-19
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record