Uncertainty principle via variational calculus on modulation spaces
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Publication:2161315
DOI10.1016/j.jfa.2022.109605zbMath1494.49004arXiv2206.12488OpenAlexW4288032516MaRDI QIDQ2161315
Nuno Costa Dias, Franz Luef, João Nuno Prata
Publication date: 4 August 2022
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.12488
Existence theories for problems in abstract spaces (49J27) Applications of operator theory in systems, signals, circuits, and control theory (47N70)
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Cites Work
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- Isomorphism properties of Toeplitz operators and pseudo-differential operators between modulation spaces
- Functions of variable bandwidth via time-frequency analysis tools
- Banach spaces related to integrable group representations and their atomic decompositions. II
- Gaussian kernels have only Gaussian maximizers
- Sobolev spaces associated to the harmonic oscillator
- On a new Segal algebra
- Best constants in Young's inequality, its converse, and its generalization to more than three functions
- Inequalities in Fourier analysis
- The uncertainty principle: A mathematical survey
- Optimal Young's inequality and its converse: A simple proof
- Foundations of time-frequency analysis
- On compactness of embeddings of Fourier-Lebesgue spaces into modulation spaces
- Uncertainty principles as embeddings of modulation spaces
- Compactness properties for modulation spaces
- The range of localization operators and lifting theorems for modulation and Bargmann-Fock spaces
- Generalized Amalgams, With Applications to Fourier Transform
- Integral bounds for radar ambiguity functions and Wigner distributions
- Sharp Integral Bounds for Wigner Distributions
- Embeddings and compactness for generalized Sobolev–Shubin spaces and modulation spaces
- A Distributional Approach to Generalized Stochastic Processes on Locally Compact Abelian Groups
- On the Inverse to the Harmonic Oscillator
- An inequality in the theory of Fourier integrals
- Sums and Intersections of Normed Linear Spaces
- An uncertainty principle related to the Poisson summation formula