Uncertainty principle for Weyl transform and Fourier–Wigner transform

DOI10.4064/cm9131-8-2023MaRDI QIDQ6187581

No author found.

Publication date: 31 January 2024

Published in: Colloquium Mathematicum (Search for Journal in Brave)

zbMATH Keywords

Toeplitz operatoruncertainty principleWeyl transformFourier-Wigner transformfinite rank theorem

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Cites Work

• Unnamed Item
• 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
• A uniqueness theorem of Beurling for Fourier transform pairs
• Proof of a conjecture on the supports of Wigner distributions
• The measure algebra of the Heisenberg group
• Phase retrieval techniques for radar ambiguity problems
• Hermite functions and uncertainty principles for the Fourier and the windowed Fourier trans\-forms.
• The range of the Berezin transform
• D. Luecking's finite rank theorem for Toeplitz operator, Benedicks' theorem on the Heisenberg group, and uncertainty principle for the Fourier-Wigner 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
• Benedicks’ theorem for the Heisenberg group
• Radar Ambiguity Functions and Group Theory
• Principe d'incertitude qualitatif et reconstruction de phase pour la transformée de Wigner
• Finite rank Bargmann–Toeplitz operators with non-compactly supported symbols
• Finite Rank Toeplitz Operators in the Bergman Space
• UNCERTAINTY PRINCIPLES FOR THE AMBIGUITY FUNCTION

This page was built for publication: Uncertainty principle for Weyl transform and Fourier–Wigner transform