Annihilating sets for the short time Fourier transform
From MaRDI portal
Publication:981621
DOI10.1016/j.aim.2010.01.010zbMath1194.42015OpenAlexW2085139212MaRDI QIDQ981621
Antonio Galbis, Carmen Fernández
Publication date: 1 July 2010
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aim.2010.01.010
uncertainty principleshort time Fourier transformannihilating setsHilbert modulation spacessupport conditionsthin sets at infinity
Related Items
Quantitative uncertainty principles associated with the \(k\)-generalized Stockwell transform, The Faber-Krahn inequality for the short-time Fourier transform, Windowed-Wigner representations in the Cohen class and uncertainty principles, The norm of time-frequency and wavelet localization operators, Two aspects of the Donoho-Stark uncertainty principle, Invertibility of positive Toeplitz operators and associated uncertainty principle, A note on the HRT conjecture and a new uncertainty principle for the short-time Fourier transform, Inequalities in time-frequency analysis, Compactness of localization operators on modulation spaces of \(\omega\)-tempered distributions, Quantitative uncertainty principles for the short time Fourier transform and the radar ambiguity function, Cohen class of time-frequency representations and operators: boundedness and uncertainty principles, Harmonic analysis problems associated with the \(k\)-Hankel Gabor transform, A Wiener Tauberian theorem for operators and functions, Localization operators and an uncertainty principle for the discrete short time Fourier transform, Supports of representations in the Cohen class, Sampling measures for the Gabor transform, Multilinear Fourier multipliers related to time-frequency localization, Time-frequency localization for the short time Fourier transform, \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\) and its applications to the reproducing kernel theory, Planar sampling sets for the short-time Fourier transform, Donoho-Logan large sieve principles for modulation and polyanalytic Fock spaces, Time-frequency analysis associated with the \(k\)-Hankel Gabor transform on \(\mathbb{R}^d\), Compactness of Fourier integral operators on weighted modulation spaces, Logvinenko-Sereda type theorems for the short time Fourier transform, Norm estimates for selfadjoint Toeplitz operators on the Fock space, Daubechies' time-frequency localization operator on Cantor type sets II.
Cites Work
- Unnamed Item
- Unnamed Item
- A survey on uncertainty principles related to quadratic forms
- On Fourier transforms of functions supported on sets of finite Lebesgue measure
- Some harmonic analysis questions suggested by Anderson-Bernoulli models. Appendix by T.H.Wolff
- Proof of a conjecture on the supports of Wigner distributions
- The uncertainty principle: A mathematical survey
- Time-frequency analysis of localization operators.
- Foundations of time-frequency analysis
- Generalized Anti-Wick operators with symbols in distributional Sobolev spaces
- New uncertainty principles for the continuous Gabor transform and the continuous wavelet transform
- Schatten classes for Toeplitz operators with Hilbert space windows on modulation spaces
- Compactness of time-frequency localization operators on \(L^2(\mathbb R^d)\)
- Uncertainty principle, positivity and \(L^{p}\)-boundedness for generalized spectrograms
- Continuity and Schatten Properties for Pseudo-differential Operators on Modulation Spaces
- Time-frequency localization operators: a geometric phase space approach
- Principe d'incertitude qualitatif et reconstruction de phase pour la transformée de Wigner
- Some remarks on compact Weyl operators
- UNCERTAINTY PRINCIPLES FOR THE AMBIGUITY FUNCTION
