Toeplitz operators on the Fock space: Radial component effects.

DOI10.1007/BF01197858zbMath1039.47015OpenAlexW1570909126MaRDI QIDQ1865925

Sergei M. Grudsky, Nikolai L. Vasilevski

Publication date: 15 July 2003

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197858

zbMATH Keywords

spectral propertiesToeplitz operatorsFock spaceWeyl pseudodifferential operatorsradial symbols

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Pseudodifferential operators (47G30)

Related Items (31)

Toeplitz operators on the Fock space with quasi-radial symbols ⋮ C*-algebra generated by horizontal Toeplitz operators on the Fock space ⋮ Toeplitz operators with BMO and IMO symbols between Fock spaces ⋮ Finite rank Bergman-Toeplitz and Bargmann-Toeplitz operators in many dimensions ⋮ A class of normal weighted composition operators on the Fock space of \(\mathbb C^n\) ⋮ \(\mathcal{L}\)-invariant and radial singular integral operators on the Fock space ⋮ Toeplitz operators with isotropic invariant symbols on the Fock space ⋮ Toeplitz operators on Fock spaces \(F^p(\varphi)\) ⋮ A note on \(C^\ast\)-algebra of Toeplitz operators with \(\mathcal{L}\)-invariant symbols ⋮ Integral representation of vertical operators on the Bergman space over the upper half-plane ⋮ On Galbis' integration lemmas ⋮ Integral representation of angular operators on the Bergman space over the upper half-plane ⋮ Separately Radial Fock-Carleson Type Measures for Derivatives of Order k ⋮ Toeplitz Algebras on the Harmonic Fock Space ⋮ Radial Operators on Polyanalytic Bargmann–Segal–Fock Spaces ⋮ Unitary weighted composition operators on the Fock space of \(\mathbb C ^n\) ⋮ Toeplitz operators from one Fock space to another ⋮ Algebraic properties and the finite rank problem for Toeplitz operators on the Segal-Bargmann space ⋮ Toeplitz operators defined by sesquilinear forms: Fock space case ⋮ Radial Toeplitz operators on the Fock space and square-root-slowly oscillating sequences ⋮ Finite rank Bargmann–Toeplitz operators with non-compactly supported symbols ⋮ Toeplitz operators in the Herglotz space ⋮ The finite rank theorem for Toeplitz operators on the Fock space ⋮ Toeplitz operators with special symbols on Segal-Bargmann spaces ⋮ Algebras of Toeplitz operator on the three-dimensional Siegel domain ⋮ Radial operators on polyanalytic weighted Bergman spaces ⋮ Local eigenvalue asymptotics of the perturbed Krein Laplacian ⋮ Norm estimates for selfadjoint Toeplitz operators on the Fock space ⋮ Normal and isometric weighted composition operators on the Fock space ⋮ Toeplitz operators in polyanalytic Bergman type spaces ⋮ Weighted composition operator on the Fock space

Cites Work

• Hankel and Toeplitz operators on the Fock space
• Toeplitz operators with discontinuous presymbols in the Fock space
• Toeplitz operators in \(n\)-dimensions
• Toeplitz Operators on the Segal-Bargmann Space
• On a Hilbert space of analytic functions and an associated integral transform part I
• Harmonic Analysis in Phase Space. (AM-122)
• Compact operators via the Berezin transform
• Heat Flow and Berezin-Toeplitz Estimates
• Toeplitz Operators on the Fock Space with Presymbols Discontinuous on a Thick Set
• COVARIANT AND CONTRAVARIANT SYMBOLS OF OPERATORS
• Toeplitz operators and quantum mechanics
• Bergman-Toeplitz operators: Radial component influence
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