R. Fulsche

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20172023

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math.FA2023

A Wiener algebra for Fock space operators

Robert Fulsche

We introduce an algebra $W_{t}$ of linear operators that act continuously on each of the Fock spaces $F_{t}^{p}$ , $1 \leq p \leq \infty$ , and contains all Toeplitz operators wit…

math.FA2019

Correspondence theory on $p$ -Fock spaces with applications to Toeplitz algebras

Robert Fulsche

We prove several results concerning the theory of Toeplitz algebras over $p$ -Fock spaces using a correspondence theory of translation invariant symbol and operator spaces. The most…

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 $C^{n}$ are discussed. Results are p…

A Wiener algebra for Fock space operators

Correspondence theory on p-Fock spaces with applications to Toeplitz algebras

Toeplitz operators on pluriharmonic function spaces: Deformation quantization and spectral theory

Correspondence theory on $p$ -Fock spaces with applications to Toeplitz algebras