Iterates and the boundary behavior of the Berezin transform
Jonathan Arazy[1]; Miroslav Engliš[2]
- [1] University of Haifa, Department of Mathematics, Haifa 31905 (Israël)
- [2] Academy of Sciences, Mathematics Institute, Ztiná 25, 11567 Prague 1 (République Thèque)
Annales de l’institut Fourier (2001)
- Volume: 51, Issue: 4, page 1101-1133
- ISSN: 0373-0956
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top- J. Arazy, A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains, Multivariable operator theory vol. 185 (1995), 7-65, Amer. Math. Soc., Providence Zbl0831.46014
- J. Arazy, G. Zhang, Invariant mean value and harmonicity in Cartan and Siegel domains, Interaction between functional analysis, harmonic analysis, and probability (Columbia, MO, 1994) vol. 175 (1996), 19-40, Dekker, New York Zbl0839.43019
- S. Axler, J. Lech, Fixed points of the Berezin transform on multiply connected domains, (1997)
- J. Faraut, A. Korányi, Function spaces and reproducing kernels on bounded symmetric domains, J. Funct. Anal. 88 (1990), 64-89 Zbl0718.32026MR1033914
- H. Fürstenberg, Poisson formula for semisimple Lie groups, Ann. Math. 77 (1963), 335-386 Zbl0192.12704MR146298
- T.W. Gamelin, Uniform algebras, (1969), Prentice-Hall, Englewood Cliffs Zbl0213.40401MR410387
- R. Godement, Une généralisation des représentations de la moyenne pour les fonctions harmoniques, C. R. Acad. Sci. Paris 234 (1952), 2137-2139 Zbl0049.30301MR47056
- G.M. Goluzin, Geometric theory of functions of a complex variable, (1966), Nauka, Moscou Zbl0148.30603MR219714
- S. Helgason, Differential geometry and symmetric spaces, (1962), Academic Press, New York Zbl0111.18101MR145455
- W. Kaup, J. Sauter, Boundary structure of bounded symmetric domains, Manuscripta Math. 101 (2000), 351-360 Zbl0981.32012MR1751038
- S.G. Krantz, Function theory of several complex variables, (1992), Wadsworth & Brooks/Cole, Pacific Grove Zbl0776.32001MR1162310
- J. Lee, Properties of the Berezin transform of bounded functions, Bull. Austral. Math. Soc. 59 (1999), 21-31 Zbl0926.31002MR1672775
- O. Loos, Bounded symmetric domains and Jordan pairs, (1977)
- K. Zhu, A limit property of the Berezin transform, (1999)