Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds

0504180 - MÚ 2020 RIV US eng J - Journal Article
Engliš, Miroslav - Upmeier, H.
Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds.
Advances in Mathematics. Roč. 347, 30 April (2019), s. 780-826. ISSN 0001-8708. E-ISSN 1090-2082
Institutional support: RVO:67985840
Keywords : asymptotic expansion * normal algebraic variety * reproducing kernel * symmetric domain
OECD category: Pure mathematics
Impact factor: 1.494, year: 2019
Method of publishing: Limited access
http://dx.doi.org/10.1016/j.aim.2019.03.001

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.
Permanent Link: http://hdl.handle.net/11104/0295870