A Semi-Classical Szegő-type Limit Theorem for Toeplitz Operators

A Semi-Classical Szegő-type Limit Theorem for Toeplitz Operators

We obtain Szegő-type limit theorems for Toeplitz operators on the weighted Bergman spaces \(A^{2}_{\alpha}(\mathbb{D})\), and on \(L^{2}(G)\) where \(G\) is a compact Abelian group. We also derive several abstract Szegő limit theorems which include many related classical Szegő limit theorems as a sp...

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Veröffentlicht in:arXiv.org 2024-11
Hauptverfasser: Camper, Trevor, Mishko Mitkovski
Format: Artikel
Sprache:eng
Schlagworte:
Group theory
Operators
Theorems
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Zusammenfassung:We obtain Szegő-type limit theorems for Toeplitz operators on the weighted Bergman spaces \(A^{2}_{\alpha}(\mathbb{D})\), and on \(L^{2}(G)\) where \(G\) is a compact Abelian group. We also derive several abstract Szegő limit theorems which include many related classical Szegő limit theorems as a special case.
ISSN:2331-8422