Multi angle Analytic continuation of Toeplitz operators
Auteurs : Englis, Miroslav (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : Generalizing results of Rossi and Vergne for the holomorphic discrete series on symmetric domains, on the one hand, and of Chailuek and Hall for Toeplitz operators on the ball, on the other hand, we establish existence of analytic continuation of weighted Bergman spaces, in the weight (Wallach) parameter, as well as of the associated Toeplitz operators (with sufficiently nice symbols), on any smoothly bounded strictly pseudoconvex domain. Still further extension to Sobolev spaces of holomorphic functions is likewise treated.Codes MSC :
47B35 - Toeplitz operators, Hankel operators, Wiener-Hopf operators
30H20 - Bergman spaces, Fock spaces