Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds

@article{32721,
   author = {Engliš, Miroslav and Upmeier, Harald},
   article_location = {San Diego (USA)},
   article_number = {30 April 2019},
   doi = {http://dx.doi.org/10.1016/j.aim.2019.03.001},
   keywords = {Normal algebraic variety; Symmetric domain; Reproducing kernel; Asymptotic expansion},
   language = {eng},
   issn = {0001-8708},
   journal = {Advances in Mathematics},
   title = {Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds},
   url = {https://www.sciencedirect.com/science/article/pii/S0001870819301240?via%3Dihub},
   volume = {347},
   year = {2019}
}

TY  - JOUR
ID  - 32721
AU  - Engliš, Miroslav - Upmeier, Harald
PY  - 2019
TI  - Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds
JF  - Advances in Mathematics
VL  - 347
IS  - 30 April 2019
SP  - 780-826
EP  - 780-826
PB  - Academic Press Inc. Elsevier Science
SN  - 00018708
KW  - Normal algebraic variety
KW  - Symmetric domain
KW  - Reproducing kernel
KW  - Asymptotic expansion
UR  - https://www.sciencedirect.com/science/article/pii/S0001870819301240?via%3Dihub
L2  - https://www.sciencedirect.com/science/article/pii/S0001870819301240?via%3Dihub
N2  - 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.
ER  - 

ENGLIŠ, Miroslav and Harald UPMEIER. Reproducing kernel functions and asymptotic expansions on Jordan-Kepler manifolds. \textit{Advances in Mathematics}. San Diego (USA): Academic Press Inc. Elsevier Science, 2019, vol.~347, 30 April 2019, p.~780-826. ISSN~0001-8708. Available from: https://dx.doi.org/10.1016/j.aim.2019.03.001.