J 2019

Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds

ENGLIŠ, Miroslav and Harald UPMEIER

Basic information

Original name

Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds

Authors

ENGLIŠ, Miroslav (203 Czech Republic, belonging to the institution) and Harald UPMEIER (276 Germany)

Edition

Advances in Mathematics, San Diego (USA), Academic Press Inc. Elsevier Science, 2019, 0001-8708

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

RIV identification code

RIV/47813059:19610/19:A0000044

Organization unit

Mathematical Institute in Opava

UT WoS

000464091600016

Keywords in English

Normal algebraic variety; Symmetric domain; Reproducing kernel; Asymptotic expansion

Tags

Tags

International impact, Reviewed

Links

GA16-25995S, research and development project.
Změněno: 20/4/2020 16:02, Mgr. Aleš Ryšavý

Abstract

V originále

We study the complex geometry of generalized Kepler manifolds, defined in Jordan theoretic terms, introduce Hilbert spaces of holomorphic functions defined by radial measures, and find the complete asymptotic expansion of the corresponding reproducing kernels for Kähler potentials, both in the flat and bounded setting.