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Grant IAA100190802     1.1.2008 - 31.12.2011
Grantor: Grant Agency of Czech Academy of Sciences

Function theory and operator theory in Bergman spaces

Operator theory and function theory in Bergman spaces is a relatively new and very active area of functional analysis which has close ties with other branches of mathematics (complex analysis, partial differential equations, group representations). The proposed project would concentrate on three topics in this area: Berezin transforms associated to spaces of holomorphic and non-holomorphic functions; function spaces and operators on bounded symmetric domains; and boundary singularities of weighted Bergman kernels. All these problems have applications in mathematical physics (quantization on Kähler manifolds), operator theory, complex geometry, and other fields.

 Main investigator:

Engliš Miroslav

 Participating institutions:

Institute of Mathematics, AS CR