Uncertainty principle for free metaplectic transformation
DOI10.1007/S00041-023-10052-0zbMath1527.42011OpenAlexW4388142091MaRDI QIDQ6082547
Publication date: 30 November 2023
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00041-023-10052-0
eigenvaluetraceuncertainty principlesymmetric matrixpositive semidefinite matrixfree metaplectic transformation (FMT)
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Inequalities involving eigenvalues and eigenvectors (15A42) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Uncertainty relations, also entropic (81S07)
Cites Work
- Unnamed Item
- Banach spaces related to integrable group representations and their atomic decompositions. I
- On pseudodifferential operators with symbols in generalized Shubin classes and an application to Landau-Weyl operators
- Discrete uncertainty principles and sparse signal processing
- On signal moments and uncertainty relations associated with linear canonical transform
- On a new Segal algebra
- The uncertainty principle: A mathematical survey
- Foundations of time-frequency analysis
- A sharp Balian-Low uncertainty principle for shift-invariant spaces
- A refinement of the Robertson-Schrödinger uncertainty principle and a Hirschman-Shannon inequality for Wigner distributions
- Uncertainty principles for Wigner-Ville distribution associated with the linear canonical transforms
- Fractional Fourier transforms on \(L^p\) and applications
- Quantum harmonic analysis. An introduction
- Uncertainty principle of complex-valued functions in specific free metaplectic transformation domains
- Time-frequency analysis in \(\mathbb{R}^n\)
- Wigner analysis of operators. I: Pseudodifferential operators and wave fronts
- Uncertainty principle for real functions in free metaplectic transformation domains
- A sharper uncertainty principle
- Symplectic geometry and quantum mechanics
- Quasi-Banach algebras and Wiener properties for pseudodifferential and generalized metaplectic operators
- Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations
- The Linear Canonical Transformation: Definition and Properties
- Uncertainty Principles and Signal Recovery
- Time in the Quantum Theory and the Uncertainty Relation for Time and Energy
- Harmonic Analysis in Phase Space. (AM-122)
- Uncertainty Principle for Real Signals in the Linear Canonical Transform Domains
- On Uncertainty Principle for the Linear Canonical Transform of Complex Signals
- A Tighter Uncertainty Principle for Linear Canonical Transform in Terms of Phase Derivative
- Canonical Transformations and Quantum Mechanics
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