GETZLER’S SYMBOL CALCULUS AND THE COMPOSITION OF DIFFERENTIAL OPERATORS ON CONTACT RIEMANNIAN MANIFOLDS

Nagase, Masayoshi

Osaka Journal of Mathematics, 2023, 60(4), 799-813

アクセス数:177件（2026-04-04 22:02 集計）

固定URL: https://doi.org/10.18910/93061

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タイトル	GETZLER’S SYMBOL CALCULUS AND THE COMPOSITION OF DIFFERENTIAL OPERATORS ON CONTACT RIEMANNIAN MANIFOLDS
著者	NRID 1000030175509 1000030175509 著者名 Nagase, Masayoshi
抄録	Following Getzler’s idea from the geometric viewpoint as to symbol calculus on a spin manifold, we introduce a new symbol calculus of H-pseudodifferential operators on a contact Riemannian manifold with contact distribution H. An explicit formula for the top grading part of the symbol of the composite of H-differential operators is presented.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	60(4)
ページ	799-813
刊行年月	2023-10
言語	英語
ハンドルURL	https://hdl.handle.net/11094/93061
DOI	https://doi.org/10.18910/93061
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 60, Number 4 （2023-10）

資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics. 2023, 60(4), p. 799-813
DC.title	GETZLER’S SYMBOL CALCULUS AND THE COMPOSITION OF DIFFERENTIAL OPERATORS ON CONTACT RIEMANNIAN MANIFOLDS
DC.creator	Nagase, Masayoshi
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2023-10
DCTERMS.abstract	Following Getzler’s idea from the geometric viewpoint as to symbol calculus on a spin manifold, we introduce a new symbol calculus of H-pseudodifferential operators on a contact Riemannian manifold with contact distribution H. An explicit formula for the top grading part of the symbol of the composite of H-differential operators is presented.
DC.identifier	10.18910/93061
DC.format	93061
citation_title	GETZLER’S SYMBOL CALCULUS AND THE COMPOSITION OF DIFFERENTIAL OPERATORS ON CONTACT RIEMANNIAN MANIFOLDS
citation_author	Nagase, Masayoshi
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2023-10
citation_journal_title	Osaka Journal of Mathematics
citation_volume	60
citation_issue	4
citation_firstpage	799
citation_lastpage	813
citation_public_url	https://hdl.handle.net/11094/93061
citation_doi_detail	10.18910/93061
citation_doi	https://doi.org/10.18910/93061