Schatten properties, nuclearity and minimality of phase shift invariant spaces

DOI10.1016/j.acha.2017.04.003zbMath1475.42038arXiv1605.03042OpenAlexW2963864954MaRDI QIDQ1990971

Joachim Toft

Publication date: 29 October 2018

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.03042

zbMATH Keywords

matricesminimalitysingular valuesmodulation spacesnuclear operatorsnon-uniform expansions

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Function spaces arising in harmonic analysis (42B35) Integral operators (45P05) General harmonic expansions, frames (42C15)

Related Items (7)

Continuity properties for Born-Jordan operators with symbols in Hörmander classes and modulation spaces ⋮ Pseudo-differential operators on Orlicz modulation spaces ⋮ Approximation by linear combinations of translates in invariant Banach spaces of tempered distributions via Tauberian conditions ⋮ Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations ⋮ Translation and modulation invariant Hilbert spaces ⋮ Compactness properties for modulation spaces ⋮ Trace mappings on quasi-Banach modulation spaces and applications to pseudo-differential operators of amplitude type

Cites Work

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• Decompositions of Gelfand-Shilov kernels into kernels of similar class
• Kernel and symbol criteria for Schatten classes and \(r\)-nuclearity on compact manifolds
• Grothendieck-Lidskii trace formula for mixed-norm and variable Lebesgue spaces
• Functions of variable bandwidth via time-frequency analysis tools
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Quasianalytic Gelfand-Shilov spaces with application to localization operators
• Modulation spaces on the Euclidean n-space
• On a new Segal algebra
• Describing functions: Atomic decompositions versus frames
• Modulation spaces and pseudodifferential operators
• Time-frequency analysis on modulation spaces \(M_{m}^{p,q}\), \(0 < p,q \leqslant \infty\).
• Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
• Foundations of time-frequency analysis
• The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators
• Spaces of type \(W\), growth of Hermite coefficients, Wigner distribution, and Bargmann transform
• Spaces of test functions via the STFT
• An algebra of pseudodifferential operators
• Images of function and distribution spaces under the Bargmann transform
• Schatten classes on compact manifolds: kernel conditions
• Propagation of exponential phase space singularities for Schrödinger equations with quadratic Hamiltonians
• Pseudodifferential operators and Banach algebras in mobile communications
• The dilation property of modulation spaces and their inclusion relation with Besov spaces
• Schatten classes, nuclearity and nonharmonic analysis on compact manifolds with boundary
• \(L^p\)-nuclearity, traces, and Grothendieck-Lidskii formula on compact Lie groups
• Schatten classes for Toeplitz operators with Hilbert space windows on modulation spaces
• Frequency-uniform decomposition method for the generalized BO, KdV and NLS equations
• Approximation property and nuclearity on mixed‐normL^p, modulation and Wiener amalgam spaces
• Pseudo-differential operators in a Gelfand-Shilov setting
• Continuity and Schatten Properties for Pseudo-differential Operators on Modulation Spaces
• Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces
• DECOMPOSITIONS OF FUNCTIONS AS SUMS OF ELEMENTARY FUNCTIONS
• Generalization of Zemanian Spaces of Generalized Functions which Have Orthonormal Series Expansions
• Matrix Parameterized Pseudo-differential Calculi on Modulation Spaces
• Characterizations of the Gelfand-Shilov spaces via Fourier transforms
• Multiplication Properties in Gelfand–Shilov Pseudo-differential Calculus
• Time-frequency representations of Wigner type and pseudo-differential operators
• Continuity and compactness for pseudo-differential operators with symbols in quasi-Banach spaces or Hörmander classes
• Gabor frames and asymptotic behavior of Schwartz distributions
• Wiener amalgam spaces with respect to quasi-Banach spaces
• Coorbit space theory for quasi-Banach spaces
• Kernel theorems for the spaces of tempered ultradistributions
• Locally bounded linear topological spaces
• Produits tensoriels topologiques et espaces nucléaires

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