D. Luecking's finite rank theorem for Toeplitz operator, Benedicks' theorem on the Heisenberg group, and uncertainty principle for the Fourier-Wigner transform

DOI10.1007/S10958-018-4069-5zbMath1470.47023OpenAlexW2895382545WikidataQ129090421 ScholiaQ129090421MaRDI QIDQ1755759

Xianqiang Yang

Publication date: 11 January 2019

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-4069-5

zbMATH Keywords

Heisenberg groupToeplitz operatoruncertainty principlefinite rank operatorFock space

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Bergman spaces and Fock spaces (30H20)

Related Items (1)

Uncertainty principle for Weyl transform and 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
• On Fourier transforms of functions supported on sets of finite Lebesgue measure
• The measure algebra of the Heisenberg group
• Harmonic analysis on the Heisenberg group
• The range of the Berezin transform
• A refined Luecking's theorem and finite-rank products of Toeplitz operators
• The finite rank theorem for Toeplitz operators on the Fock space
• Finite-rank products of Toeplitz operators in several complex variables
• Some weighted estimates for the ∂̅-equation and a finite rank theorem for Toeplitz operators in the Fock space
• Toeplitz Operators on the Segal-Bargmann Space
• Benedicks’ theorem for the Heisenberg group
• 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
• UNCERTAINTY PRINCIPLES FOR THE AMBIGUITY FUNCTION

This page was built for publication: D. Luecking's finite rank theorem for Toeplitz operator, Benedicks' theorem on the Heisenberg group, and uncertainty principle for the Fourier-Wigner transform