Toeplitz Operators on Pluriharmonic Function Spaces: Deformation Quantization and Spectral Theory

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Robert Fulsche

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OriginalspracheEnglisch
Aufsatznummer40
Seitenumfang26
FachzeitschriftIntegral Equations and Operator Theory
Jahrgang91
Ausgabenummer5
PublikationsstatusVeröffentlicht - 1 Okt. 2019

Abstract

Quantization and spectral properties of Toeplitz operators acting on spaces of pluriharmonic functions over bounded symmetric domains and Cn are discussed. Results are presented on the asymptotics ‖Tfλ‖λ→‖f‖∞‖TfλTgλ-Tfgλ‖λ→0‖λi[Tfλ,Tgλ]-T{f,g}λ‖λ→0for λ→ ∞, where the symbols f and g are from suitable function spaces. Further, results on the essential spectrum of such Toeplitz operators with certain symbols are derived.

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Toeplitz Operators on Pluriharmonic Function Spaces: Deformation Quantization and Spectral Theory. / Fulsche, Robert.
in: Integral Equations and Operator Theory, Jahrgang 91, Nr. 5, 40, 01.10.2019.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Fulsche R. Toeplitz Operators on Pluriharmonic Function Spaces: Deformation Quantization and Spectral Theory. Integral Equations and Operator Theory. 2019 Okt 1;91(5):40. doi: 10.48550/arXiv.1901.02644, 10.1007/s00020-019-2538-y
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