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Description
  • The aim of the proposed project is research in the following areas: 1. reproducing kernels of spaces of holomorphic, harmonic and similar functions, their boundary behaviour and relationships to complex geometry; 2. Berezin transforms associated to such spaces, their asymptotic expansions and applications to quantization; 3. properties of operators related to function theory on complex domains. (en)
  • Cílem navrhovaného projektu je výzkum v následujících okruzích otázek: 1. reprodukující jádra prostorů holomorfních, harmonických a dalších funkcí, jejich hraniční chování a spojitosti s komplexní geometrií; 2. Berezinovy transformace na takových prostorech, jejich asymptotické rozvoje a aplikace v teorii kvantování; 3.studium operátorů souvisejících s teorií funkcí na komplexních oblastech.
Title
  • Function theory and operator theory in Bergman spaces and their applications (en)
  • Teorie funkcí a teorie operátorů v Bergmanových prostorech a jejich aplikace
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  • GAP201/12/0426
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  • Bergman space reproducing kernel Berezin transform operators in function spaces (en)
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