Spectral deviation of concentration operators for the short-time Fourier transform

DOI10.4064/sm220214-17-10zbMath1529.47054arXiv2104.06150OpenAlexW3154509669MaRDI QIDQ6160438

Felipe Marceca, José Luis Romero

Publication date: 10 May 2023

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06150

zbMATH Keywords

eigenvalueHankel operatorshort-time Fourier transformconcentration operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35) Eigenvalue problems for linear operators (47A75) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Pseudodifferential operators (47G30)

Related Items (2)

Symplectic analysis of time-frequency spaces ⋮ Entanglement entropy and hyperuniformity of Ginibre and Weyl-Heisenberg ensembles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
• Measure-theoretic properties of level sets of distance functions
• Areas of level sets of distance functions induced by asymmetric norms
• Two-term Szegő theorem for generalised anti-Wick operators
• Eigenvalue distribution of time and frequency limiting
• Time-frequency localization and the spectrogram
• Foundations of time-frequency analysis
• Generalized Anti-Wick operators with symbols in distributional Sobolev spaces
• Spaces of test functions via the STFT
• Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences
• Certain upper bounds on the eigenvalues associated with prolate spheroidal wave functions
• On the Schatten-von Neumann properties of some pseudo-differential operators
• Necessary density conditions for sampling an interpolation of certain entire functions
• On accumulated spectrograms
• Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions
• UNIFORM EIGENVALUE ESTIMATES FOR TIME-FREQUENCY LOCALIZATION OPERATORS
• Toeplitz operators and localization operators
• Time-frequency localization operators: a geometric phase space approach
• Harmonic Analysis in Phase Space. (AM-122)
• Wilson Bases and Ultramodulation Spaces
• Sharp rates of convergence for accumulated spectrograms
• Characterizations of the Gelfand-Shilov spaces via Fourier transforms
• Pseudo-differential operators with discontinuous symbols: Widom’s Conjecture
• Modulation Spaces
• Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes
• Mathematical Aspects of the Weyl Correspondence
• Standard deviation and Schatten class Hankel operators on the Segal-Bargmann space
• Non-asymptotic behavior of the spectrum of the sinc-kernel operator and related applications
• A Szegö-type theorem for Gabor-Toeplitz localization operators

This page was built for publication: Spectral deviation of concentration operators for the short-time Fourier transform