Lie group structures and reproducing kernels on the unit ball of
- Volume: 76, Issue: 4, page 247-252
- ISSN: 1120-6330
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topSampieri, Umberto. "Lie group structures and reproducing kernels on the unit ball of $\mathbb{C}^{n}$." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 76.4 (1984): 247-252. <http://eudml.org/doc/287517>.
@article{Sampieri1984,
author = {Sampieri, Umberto},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Lie group; homogeneous Siegel domains; reproducing kernel; Bergman kernel; Szegö kernel},
language = {eng},
month = {4},
number = {4},
pages = {247-252},
publisher = {Accademia Nazionale dei Lincei},
title = {Lie group structures and reproducing kernels on the unit ball of $\mathbb\{C\}^\{n\}$},
url = {http://eudml.org/doc/287517},
volume = {76},
year = {1984},
}
TY - JOUR
AU - Sampieri, Umberto
TI - Lie group structures and reproducing kernels on the unit ball of $\mathbb{C}^{n}$
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1984/4//
PB - Accademia Nazionale dei Lincei
VL - 76
IS - 4
SP - 247
EP - 252
LA - eng
KW - Lie group; homogeneous Siegel domains; reproducing kernel; Bergman kernel; Szegö kernel
UR - http://eudml.org/doc/287517
ER -
References
top- GINDIKIN, , PJATESKII-SAPIRO, , VINBERG, (1963) - Classification and canonical realization of complex bounded homogeneous domains, «Trudy Moskow Math. Obsch.», 12, 359-388, «Trans, of the Moskow Math. Soc.», 12, 404-437.
- KANEYUKI, (1972) - Homogeneous bounded domains and Siegel domains, «Lecture notes in Mathematics», 241, Springer.
- VERGNE, , ROSSI, (1976) - Analytic continuation of the holomorphic discrete series of a semi-simple Lie group, «Acta Math.», 136, 1-59. Zbl0356.32020
- VINBERG, (1963) - Theory of convex homogeneous cones, «Trudy Moskow Math. Obsch.», 12, «American Math. Soc. Trans.», 341-403.
- SAMPIERI, - Lie groups structures and reproducing kernels on homogeneous Siegel domains, to appear.
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