PARAMETRIX AND THE KOHN-ROSSI LAPLACIAN ON CONTACT RIEMANNIAN MANIFOLDS

Nagase, Masayoshi

doi:https://doi.org/10.18910/100445

PARAMETRIX AND THE KOHN-ROSSI LAPLACIAN ON CONTACT RIEMANNIAN MANIFOLDS

Nagase, Masayoshi

Osaka Journal of Mathematics, 2025, 62(1), 77-96

アクセス数:214件（2026-02-11 03:47 集計）

固定URL: https://doi.org/10.18910/100445

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タイトル	PARAMETRIX AND THE KOHN-ROSSI LAPLACIAN ON CONTACT RIEMANNIAN MANIFOLDS
著者	NRID 1000030175509 1000030175509 著者名 Nagase, Masayoshi
抄録	On a contact Riemannian manifold which is compact and not assumed to be integrable, we intend to construct a parametrix for the Kohn-Rossi Laplacian. In particular, we will explicitly express the inverse of its principal part. Beals-Greiner constructed it in the case where the manifold is integrable. Our study depends heavily on theirs. We have some tools useful for the study in the non-integrable case, by means of which their results are extended to the general case and furthermore the inverse can be revealed more clearly.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	62(1)
ページ	77-96
刊行年月	2025-01
言語	英語
ハンドルURL	https://hdl.handle.net/11094/100445
DOI	https://doi.org/10.18910/100445
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 62, Number 1 （2025-01）

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. 2025, 62(1), p. 77-96
DC.title	PARAMETRIX AND THE KOHN-ROSSI LAPLACIAN 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	2025-01
DCTERMS.abstract	On a contact Riemannian manifold which is compact and not assumed to be integrable, we intend to construct a parametrix for the Kohn-Rossi Laplacian. In particular, we will explicitly express the inverse of its principal part. Beals-Greiner constructed it in the case where the manifold is integrable. Our study depends heavily on theirs. We have some tools useful for the study in the non-integrable case, by means of which their results are extended to the general case and furthermore the inverse can be revealed more clearly.
DC.identifier	10.18910/100445
DC.format	100445
citation_title	PARAMETRIX AND THE KOHN-ROSSI LAPLACIAN 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	2025-01
citation_journal_title	Osaka Journal of Mathematics
citation_volume	62
citation_issue	1
citation_firstpage	77
citation_lastpage	96
citation_public_url	https://hdl.handle.net/11094/100445
citation_doi_detail	10.18910/100445
citation_doi	https://doi.org/10.18910/100445

PARAMETRIX AND THE KOHN-ROSSI LAPLACIAN ON CONTACT RIEMANNIAN MANIFOLDS

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