Universität zu Köln

Herrmann, Hendrik, Hsiao, Chin-Yu and Li, Xiaoshan ORCID: 0000-0003-3945-6032 (2018). Szego kernel asymptotic expansion on strongly pseudoconvex CR manifolds with S-1 action. Int. J. Math., 29 (9). SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD. ISSN 1793-6519

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Abstract

Let X be a compact connected strongly pseudoconvex Cauchy-Riemann (CR) manifold of real dimension 2n + 1, n >= 1 with a transversal CR S-1 action on X. We establish an asymptotic expansion for the mth Fourier component of the Szego kernel function as m -> infinity, where the expansion involves a contribution in terms of a distance function from lower dimensional strata of the S-1 action. We also obtain explicit formulas for the first three coefficients of the expansion.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Herrmann, Hendrik UNSPECIFIED UNSPECIFIED UNSPECIFIED Hsiao, Chin-Yu UNSPECIFIED UNSPECIFIED UNSPECIFIED Li, Xiaoshan UNSPECIFIED orcid.org/0000-0003-3945-6032 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-177258
DOI:	10.1142/S0129167X18500611
Journal or Publication Title:	Int. J. Math.
Volume:	29
Number:	9
Date:	2018
Publisher:	WORLD SCIENTIFIC PUBL CO PTE LTD
Place of Publication:	SINGAPORE
ISSN:	1793-6519
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language WEIGHTED BERGMAN KERNELS; MORSE INEQUALITIES; LINE BUNDLES; ORBIFOLDS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/17725