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The Bergman kernel and related topics = Hayama Symposium on SCV XXIII, Kanagawa, Japan, July 2022 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The Bergman kernel and related topics/ edited by Kengo Hirachi ... [et al.].
其他題名:	Hayama Symposium on SCV XXIII, Kanagawa, Japan, July 2022 /
其他作者:	Hirachi, Kengo.
團體作者:	Hayama Symposium on Several Complex Variables
出版者:	Singapore :Springer Nature Singapore : : 2024.,
面頁冊數:	viii, 369 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Bergman kernel functions - Congresses. -
電子資源:	https://doi.org/10.1007/978-981-99-9506-6
ISBN:	9789819995066

The Bergman kernel and related topics = Hayama Symposium on SCV XXIII, Kanagawa, Japan, July 2022 /
The Bergman kernel and related topicsHayama Symposium on SCV XXIII, Kanagawa, Japan, July 2022 /[electronic resource] :edited by Kengo Hirachi ... [et al.]. - Singapore :Springer Nature Singapore :2024. - viii, 369 p. :ill., digital ;24 cm. - Springer proceedings in mathematics & statistics,v. 4472194-1017 ;. - Springer proceedings in mathematics & statistics ;v. 447..

This volume consists of 15 papers contributing to the Hayama Symposium on Complex Analysis in Several Variables XXIII, which was dedicated to the 100th anniversary of the creation of the Bergman kernel. The symposium took place in Hayama and Tokyo in July 2022. Each article is closely related to the Bergman kernel, covering topics in complex analysis, differential geometry, representation theory, PDE, operator theory, and complex algebraic geometry. Specifically, some papers address the L2 extension operators from a newly opened viewpoint after solving Suita's conjecture for the logarithmic capacity. They are also continuations of quantitative solutions to the openness conjecture for the multiplier ideal sheaves. The study involves estimates for the solutions of the d-bar equations, focusing on the existence of compact Levi-flat hypersurfaces in complex manifolds. The collection also reports progress on various topics, including the existence of extremal Kähler metrics on compact manifolds, Lp variants of the Bergman kernel, Wehrl-type inequalities, homogeneous Kähler metrics on bounded homogeneous domains, asymptotics of the Bergman kernels, and harmonic Szegő kernels and operators on the Bergman spaces and Segal-Bargmann spaces. Some of the papers are written in an easily accessible way for beginners. Overall, this collection updates how a basic notion provides strong insights into the internal relationships between independently found phenomena.

ISBN: 9789819995066

Standard No.: 10.1007/978-981-99-9506-6doiSubjects--Topical Terms:

3716085
Bergman kernel functions
--Congresses.

LC Class. No.: QA331

Dewey Class. No.: 515.9

The Bergman kernel and related topics = Hayama Symposium on SCV XXIII, Kanagawa, Japan, July 2022 /
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