Modulation spaces associated with tensor products of amalgam spaces

DOI10.1007/s10231-021-01110-9zbMath1495.46028arXiv2012.12295OpenAlexW3116676448MaRDI QIDQ2118010

Hans G. Feichtinger, Bojan Prangoski, Stevan Pilipović

Publication date: 22 March 2022

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.12295

zbMATH Keywords

modulation spacesWiener amalgam spacestranslation and modulation invariant Banach spaces

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Tensor products in functional analysis (46M05)

Related Items (4)

Gabor frame characterizations of generalized modulation spaces ⋮ Double preconditioning for Gabor frame operators: algebraic, functional analytic and numerical aspects ⋮ Wiener amalgam spaces of quasianalytic ultradistributions ⋮ Sequence space representations for translation-modulation invariant function and distribution spaces

Cites Work

• Convolution of ultradistributions and ultradistribution spaces associated to translation-invariant Banach spaces
• New distribution spaces associated to translation-invariant Banach spaces
• Tempered homogeneous function spaces
• Banach spaces related to integrable group representations and their atomic decompositions. I
• Modulation spaces, Wiener amalgam spaces, and Brownian motions
• The Wiener algebra of absolutely convergent Fourier integrals: an overview
• Hermite functions and weighted spaces of generalized functions
• Compactness in translation invariant Banach spaces of distributions and compact multipliers
• Banach spaces of distributions having two module structures
• Foundations of time-frequency analysis
• Periodic distributions and periodic elements in modulation spaces
• On a family of weighted convolution algebras
• Generalized Anti-Wick operators with symbols in distributional Sobolev spaces
• Time-frequency analysis of operators
• Wave packet analysis of Schrödinger equations in analytic function spaces
• Eigenfunction expansions of ultradifferentiable functions and ultradistributions in \(\mathbb R^n\)
• Translation-modulation invariant Banach spaces of ultradistributions
• Localization operators and exponential weights for modulation spaces
• Approximation property and nuclearity on mixed‐normL^p, modulation and Wiener amalgam spaces
• Hardy's Theorem and the Short-Time Fourier Transform of Schwartz Functions
• Generalized Amalgams, With Applications to Fourier Transform
• Banach Spaces of Distributions Defined by Decomposition Methods, I
• Sharp Integral Bounds for Wigner Distributions
• Choosing Function Spaces in Harmonic Analysis
• Wave front sets with respect to Banach spaces of ultradistributions. Characterisation via the short-time fourier transform
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