Uncertainty principles for the coupled fractional Wigner distribution
DOI10.1142/s0219887823500172WikidataQ114072198 ScholiaQ114072198MaRDI QIDQ6145176
Aajaz A. Teali, Firdous Ahmad Shah
Publication date: 30 January 2024
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
uncertainty principlesWigner-Ville distributionHardy's inequalitySobolev-type inequalitiesHeisenberg's inequalitycoupled fractional Fourier transform
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Other transforms and operators of Fourier type (43A32) Inequalities involving derivatives and differential and integral operators (26D10) General integral transforms (44A05)
Cites Work
- Unnamed Item
- A new perspective on the two-dimensional fractional Fourier transform and its relationship with the Wigner distribution
- The uncertainty principle: A mathematical survey
- The general optimal \(L^{p}\)-Euclidean logarithmic Sobolev inequality by Hamilton--Jacobi equations.
- Logarithmic Sobolev and Shannon's inequalities and an application to the uncertainty principle
- Time-frequency and time-scale methods. Adaptive decompositions, uncertainty principles, and sampling
- Ambiguity functions, Wigner distributions and Cohen's class for LCA groups
- The optimal Euclidean \(L^{p}\)-Sobolev logarithmic inequality.
- Short time coupled fractional Fourier transform and the uncertainty principle
- Wavelet Transforms and Their Applications
- Integral bounds for radar ambiguity functions and Wigner distributions
- The Fractional Order Fourier Transform and its Application to Quantum Mechanics
- Two-dimensional fractional Fourier transform and some of its properties
- Fractional Fourier Transform, Wigner Distribution, and Filter Design for Stationary and Nonstationary Random Processes
- Beckner type of the logarithmic Sobolev and a new type of Shannon’s inequalities and an application to the uncertainty principle
- Pitt's Inequality and the Uncertainty Principle
- On the extension of the coupled fractional Fourier transform and its properties
- Multidimensional fractional Fourier transform and generalized fractional convolution
- Lecture Notes on Wavelet Transforms
- Introduction to nonlinear dispersive equations
- Scaling Wigner distribution in the framework of linear canonical transform
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