Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00459547" target="_blank" >RIV/67985840:_____/16:00459547 - isvavai.cz</a>
Alternative codes found
RIV/47813059:19610/16:N0000150
Result on the web
<a href="http://dx.doi.org/10.1016/j.jfa.2016.04.018" target="_blank" >http://dx.doi.org/10.1016/j.jfa.2016.04.018</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jfa.2016.04.018" target="_blank" >10.1016/j.jfa.2016.04.018</a>

Result language
angličtina
Original language name
Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold
Original language description
For a class of O(n+1,R)O(n+1,R) invariant measures on the Kepler manifold possessing finite moments of all orders, we describe the reproducing kernels of the associated Bergman spaces, discuss the corresponding asymptotic expansions of Tian–Yau–Zelditch, and study the relevant Hankel operators with conjugate holomorphic symbols. Related reproducing kernels on the minimal ball are also discussed. Finally, we observe that the Kepler manifold either does not admit balanced metrics, or such metrics are not unique.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GAP201%2F12%2F0426" target="_blank" >GAP201/12/0426: Function theory and operator theory in Bergman spaces and their applications</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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