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math.FA2019
Correspondence theory on -Fock spaces with applications to Toeplitz algebras
Robert Fulsche
We prove several results concerning the theory of Toeplitz algebras over -Fock spaces using a correspondence theory of translation invariant symbol and operator spaces. The most…
math.OA2019
Berger-Coburn theorem, localized operators, and the Toeplitz algebra
Wolfram Bauer, Robert Fulsche
We give a simplified proof of the Berger-Coburn theorem on the boundedness of Toeplitz operators and extend this theorem to the setting of -Fock spaces .…
math.FA2019
Toeplitz operators on pluriharmonic function spaces: Deformation quantization and spectral theory
Robert Fulsche
Quantization and spectral properties of Toeplitz operators acting on spaces of pluriharmonic functions over bounded symmetric domains and are discussed. Results are p…