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Free Metaplectic Wigner Distribution: Definition and Heisenberg’s Uncertainty Principles

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Outgoing claims: the papers this work cites, builds on, or argues with.

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Gabor Frames and Time-Frequency Analysis of Distributions
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Symplectic Geometry and Quantum Mechanics
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Time-Frequency Analysis and the Uncertainty Principle
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Uncertainty Principles for Time-Frequency Representations
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The Linear Canonical Transformation: Definition and Properties
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Linear Perturbations of the Wigner Transform and the Weyl Quantization
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�ber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
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The uncertainty principle: A mathematical survey
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A Refinement of the Robertson–Schrödinger Uncertainty Principle and a Hirschman–Shannon Inequality for Wigner Distributions
inferredcites →https://doi.org/10.1007/s00041-019-09686-wopenalex-snapshot
Uncertainty Principle for Real Functions in Free Metaplectic Transformation Domains
inferredcites →https://doi.org/10.1007/s00041-021-09867-6openalex-snapshot
Uncertainty Principle of Complex-Valued Functions in Specific Free Metaplectic Transformation Domains
inferredcites →https://doi.org/10.1007/s00041-021-09894-3openalex-snapshot
Time–Frequency Analysis in $$\mathbb {R}^n$$
inferredcites →https://doi.org/10.1007/s00041-023-10052-0openalex-snapshot
Uncertainty Principle for Free Metaplectic Transformation
inferredcites →https://doi.org/10.1007/s12220-012-9304-6openalex-snapshot
Windowed-Wigner Representations in the Cohen Class and Uncertainty Principles
inferredcites →https://doi.org/10.1016/j.acha.2022.01.003openalex-snapshot
Wigner analysis of operators. Part I: Pseudodifferential operators and wave fronts
inferredcites →https://doi.org/10.1016/j.jfa.2013.07.023openalex-snapshot
A sharper uncertainty principle
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Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations
inferredcites →https://doi.org/10.1016/j.jmaa.2014.05.002openalex-snapshot
Local uncertainty principles for the Cohen class
inferredcites →https://doi.org/10.1090/s0002-9947-10-05089-0openalex-snapshot
Time-frequency representations of Wigner type and pseudo-differential operators
inferredcites →https://doi.org/10.1103/physrev.40.749openalex-snapshot
On the Quantum Correction For Thermodynamic Equilibrium
inferredcites →https://doi.org/10.1109/5.30749openalex-snapshot
Time-frequency distributions-a review
inferredcites →https://doi.org/10.1109/78.934134openalex-snapshot
Relations between fractional operations and time-frequency distributions, and their applications
inferredcites →https://doi.org/10.1109/79.752051openalex-snapshot
Joint time-frequency analysis
inferredcites →https://doi.org/10.1109/lsp.2021.3101114openalex-snapshot
Sharper $N$-D Heisenberg's Uncertainty Principle
inferredcites →https://doi.org/10.1109/tsp.2004.840738openalex-snapshot
Some uncertainty principles for time-frequency transforms of the Cohen class
inferredcites →https://doi.org/10.1109/tsp.2019.2941071openalex-snapshot
Linear Canonical Wigner Distribution Based Noisy LFM Signals Detection Through the Output SNR Improvement Analysis
inferredcites →https://doi.org/10.1137/0125024openalex-snapshot
Canonical Transformations and Quantum Mechanics
inferredcites →https://doi.org/10.1142/s0219530519500052openalex-snapshot
Linear perturbations of the Wigner distribution and the Cohen class
inferredcites →https://doi.org/10.1155/2012/740161openalex-snapshot
Wigner‐Ville Distribution Associated with the Linear Canonical Transform
inferredcites →https://doi.org/10.1155/2014/470459openalex-snapshot
Uncertainty Principles for Wigner-Ville Distribution Associated with the Linear Canonical Transforms
inferredcites →https://doi.org/10.1515/9781400882427openalex-snapshot
Harmonic Analysis in Phase Space. (AM-122)
inferredcites →https://doi.org/10.3390/math8101685openalex-snapshot
The N-Dimensional Uncertainty Principle for the Free Metaplectic Transformation

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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inferred← citeshttps://doi.org/10.1002/mma.10499openalex-snapshot
Uncertainty principles for short‐time free metaplectic transformation
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New Wigner Distribution and Ambiguity Function for the Offset Fractional Fourier Transform and Their Applications
inferred← citeshttps://doi.org/10.1007/s11045-024-00886-2openalex-snapshot
Novel two-dimensional Wigner distribution and ambiguity function in the framework of the two-dimensional nonseparable linear canonical transform
inferred← citeshttps://doi.org/10.1007/s11760-024-03481-xopenalex-snapshot
Novel Wigner distribution and ambiguity function for the linear canonical transform with applications
inferred← citeshttps://doi.org/10.1007/s11868-024-00646-7openalex-snapshot
Convolution based fractional Wigner distribution and ambiguity function: theory and applications
inferred← citeshttps://doi.org/10.1007/s11868-024-00669-0openalex-snapshot
Extending the scaling Wigner distribution in the realm of linear canonical domains
inferred← citeshttps://doi.org/10.1007/s11868-025-00725-3openalex-snapshot
Standard Heisenberg’s uncertainty principles of Cohen’s class time-frequency distribution with specific kernels
inferred← citeshttps://doi.org/10.1016/j.dsp.2023.104350openalex-snapshot
Generalized convolution and product theorems associated with the free metaplectic transformation and their applications
inferred← citeshttps://doi.org/10.1016/j.jfranklin.2025.107970openalex-snapshot
New Wigner distribution and ambiguity function for the linear canonical transform: Convolution theorems and applications in the detection of linear frequency modulated signals
inferred← citeshttps://doi.org/10.1016/j.jfranklin.2025.108277openalex-snapshot
On the generalized Wigner distribution and ambiguity function for the linear canonical transform
inferred← citeshttps://doi.org/10.1016/j.sigpro.2025.110039openalex-snapshot
Power spectrum in the free metaplectic transformation domain: Theory and application
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Convolution theorem for the windowed linear canonical transform
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Quadratic-phase Laplace transform: definition and properties
inferred← citeshttps://doi.org/10.1088/1361-6501/ae00e7openalex-snapshot
Doppler through-wall radar target localization based on local optimum time–frequency chirp reassignment
inferred← citeshttps://doi.org/10.1109/ojsp.2025.3545337openalex-snapshot
Generalized Metaplectic Convolution-Based Cohen's Class Time-Frequency Distribution: Theory and Application
inferred← citeshttps://doi.org/10.1109/tit.2023.3319652openalex-snapshot
Cross Metaplectic Wigner Distribution: Definition, Properties, Relation to Short-Time Metaplectic Transform, and Uncertainty Principles
inferred← citeshttps://doi.org/10.1109/tit.2024.3522079openalex-snapshot
Convolution Type of Metaplectic Cohen’s Distribution Time-Frequency Analysis Theory, Method and Technology
inferred← citeshttps://doi.org/10.1112/jlms.70134openalex-snapshot
Hardy's uncertainty principle for Schrödinger equations with quadratic Hamiltonians
inferred← citeshttps://doi.org/10.1117/12.3023189openalex-snapshot
The short-time Wigner-Ville distribution associated with linear canonical transform
inferred← citeshttps://doi.org/10.3390/fractalfract9040245openalex-snapshot
Free Metaplectic K-Wigner Distribution: Uncertainty Principles and Applications
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