Compactness of localization operators on modulation spaces of \(\omega\)-tempered distributions

DOI10.1007/978-3-030-87502-2_60arXiv1910.09243MaRDI QIDQ6196720

Chiara Boiti, Antonino De Martino

Publication date: 15 March 2024

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09243

Mathematics Subject Classification ID

Variational inequalities (49J40) Harmonic analysis and PDEs (42B37) Representations of solutions to partial differential equations (35Cxx) Harmonic analysis in several variables (42Bxx) Nontrigonometric harmonic analysis (42Cxx)

Cites Work

• Unnamed Item
• Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms
• Annihilating sets for the short time Fourier transform
• Time-frequency analysis of localization operators.
• Foundations of time-frequency analysis
• The Gabor wave front set in spaces of ultradifferentiable functions
• The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators
• Generalized Anti-Wick operators with symbols in distributional Sobolev spaces
• Spaces of test functions via the STFT
• Nuclearity of rapidly decreasing ultradifferentiable functions and time-frequency analysis
• Real Paley-Wiener theorems in spaces of ultradifferentiable functions
• Compactness of time-frequency localization operators on \(L^2(\mathbb R^d)\)
• Compactness of Fourier integral operators on weighted modulation spaces

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