What is the Wigner Function Closest to a Given Square Integrable Function?
From MaRDI portal
Publication:4685018
DOI10.1137/18M116633XzbMath1408.35238arXiv1807.05635OpenAlexW2883059764MaRDI QIDQ4685018
No author found.
Publication date: 4 October 2018
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.05635
Pseudodifferential operators as generalizations of partial differential operators (35S05) Function spaces arising in harmonic analysis (42B35) Estimates of eigenvalues in context of PDEs (35P15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) General mathematical topics and methods in quantum theory (81Q99) Approximations and expansions (41A99)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The polyanalytic Ginibre ensembles
- Estimates for the eigenvalues of infinite matrices
- Basic definition and properties of Bessel multipliers
- Hilbert space operators in quantum physics
- On Szegö's eigenvalue distribution theorem and non-Hermitian kernels
- Weyl transforms
- On Wigner measures
- Admissible states in quantum phase space
- Measures of localization and quantitative Nyquist densities
- Symplectic geometry and quantum mechanics
- Sur certains groupes d'opérateurs unitaires
- An analysis of the Rayleigh--Ritz method for approximating eigenspaces
- Multipliers for continuous frames in Hilbert spaces
- The Weyl Operator and its Generalization
- Time-Frequency Localization via the Weyl Correspondence
- Exact and approximate moments of a propagating pulse
- Approximate wave function from approximate non-representable Wigner distributions
- Some comments on Fourier analysis, uncertainty and modeling
- Conditions for the convolution of two Wigner distributions to be itself a Wigner distribution
- Time-frequency localization operators: a geometric phase space approach
- Positivity of Weighted Wigner Distributions
- Harmonic Analysis in Phase Space. (AM-122)
- The Wigner distribution of a linear signal space
- Bounds on Integrals of the Wigner Function
- Multitaper Time-Frequency Reassignment for Nonstationary Spectrum Estimation and Chirp Enhancement
- MSE Estimates for Multitaper Spectral Estimation and Off-Grid Compressive Sensing
- Banach Gabor frames with Hermite functions: polyanalytic spaces from the Heisenberg group
- WIGNER DISTRIBUTIONS Local properties of dispersive pulses
- Localization of multidimensional Wigner distributions
- Function Spaces of Polyanalytic Functions
- Linear Symmetries of Free Boson Fields
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
- On the Algebraic Problem Concerning the Normal Forms of Linear Dynamical Systems
