Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds

0504180 - MÚ 2020 RIV US eng J - Článek v odborném periodiku
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
Institucionální podpora: RVO:67985840
Klíčová slova: asymptotic expansion * normal algebraic variety * reproducing kernel * symmetric domain
Obor OECD: Pure mathematics
Impakt faktor: 1.494, rok: 2019
Způsob publikování: Omezený přístup
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.
Trvalý link: http://hdl.handle.net/11104/0295870