The finite rank theorem for Toeplitz operators on the Fock space
From MaRDI portal
Publication:2256839
DOI10.1007/s12220-013-9432-7zbMath1339.47036arXiv1303.2996OpenAlexW1968801516MaRDI QIDQ2256839
Alexander Borichev, Grigori Rozenblum
Publication date: 23 February 2015
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.2996
Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Bergman spaces and Fock spaces (30H20)
Related Items (3)
Some weighted estimates for the ∂̅-equation and a finite rank theorem for Toeplitz operators in the Fock space ⋮ Uncertainty principle for Weyl transform and Fourier–Wigner transform ⋮ D. Luecking's finite rank theorem for Toeplitz operator, Benedicks' theorem on the Heisenberg group, and uncertainty principle for the Fourier-Wigner transform
Cites Work
- Unnamed Item
- Finite rank Bergman-Toeplitz and Bargmann-Toeplitz operators in many dimensions
- Algebraic properties and the finite rank problem for Toeplitz operators on the Segal-Bargmann space
- On higher dimensional Luecking's theorem
- Finite rank Toeplitz operators: Some extensions of D.\,Luecking's theorem
- The measure algebra of the Heisenberg group
- Santaló's inequality on \(\mathbb{C}^n\) by complex interpolation
- The range of the Berezin transform
- Trace ideal criteria for Toeplitz operators
- Toeplitz operators on the Fock space: Radial component effects.
- Unbounded Toeplitz operators in the Segal-Bargmann space. II
- A refined Luecking's theorem and finite-rank products of Toeplitz operators
- Finite-rank products of Toeplitz operators in several complex variables
- Commutative algebras of Toeplitz operators on the Bergman space
- On the Berezin-Toeplitz calculus
- Analysis on Fock Spaces
- Unbounded Toeplitz operators in the Bargmann-Segal space
- Finite rank Bargmann–Toeplitz operators with non-compactly supported symbols
- Finite Rank Toeplitz Operators in the Bergman Space
- Finite rank Toeplitz operators on the Bergman space
- Certain Hilbert spaces of entire functions
This page was built for publication: The finite rank theorem for Toeplitz operators on the Fock space