Let be a measure on a domain in such that the Bergman space of holomorphic functions in possesses a reproducing kernel and . The Berezin transform associated to is the integral operator
Soit une mesure sur un domaine de tel que l’espace de Bergman des fonctions holomorphes dans possède un noyau reproduisant et que . La transformation de Berezin associée à est l’opérateur intégral
Keywords: Berezin transform, geodesic symmetry, Cartan domain, stochastic operator
Mot clés : transformation de Berezin, symétrie géodésique, domaine de Cartan, opérateur stochastique
Arazy, Jonathan 1; Engliš, Miroslav 2
@article{AIF_2001__51_4_1101_0, author = {Arazy, Jonathan and Engli\v{s}, Miroslav}, title = {Iterates and the boundary behavior of the {Berezin} transform}, journal = {Annales de l'Institut Fourier}, pages = {1101--1133}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {51}, number = {4}, year = {2001}, doi = {10.5802/aif.1847}, zbl = {0989.47027}, mrnumber = {1849217}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1847/} }
TY - JOUR AU - Arazy, Jonathan AU - Engliš, Miroslav TI - Iterates and the boundary behavior of the Berezin transform JO - Annales de l'Institut Fourier PY - 2001 SP - 1101 EP - 1133 VL - 51 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1847/ DO - 10.5802/aif.1847 LA - en ID - AIF_2001__51_4_1101_0 ER -
%0 Journal Article %A Arazy, Jonathan %A Engliš, Miroslav %T Iterates and the boundary behavior of the Berezin transform %J Annales de l'Institut Fourier %D 2001 %P 1101-1133 %V 51 %N 4 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1847/ %R 10.5802/aif.1847 %G en %F AIF_2001__51_4_1101_0
Arazy, Jonathan; Engliš, Miroslav. Iterates and the boundary behavior of the Berezin transform. Annales de l'Institut Fourier, Volume 51 (2001) no. 4, pp. 1101-1133. doi : 10.5802/aif.1847. https://aif.centre-mersenne.org/articles/10.5802/aif.1847/
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