The Banach Gelfand triple and its role in classical Fourier analysis and operator theory
DOI10.1007/978-3-031-62894-8_7MaRDI QIDQ6611672
Publication date: 27 September 2024
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Topological linear spaces of test functions, distributions and ultradistributions (46F05) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70) Research exposition (monographs, survey articles) pertaining to abstract harmonic analysis (43-02) Harmonic analysis on Euclidean spaces (42-XX)
Cites Work
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- Convolution operators on groups
- Quasi-interpolation in the Fourier algebra
- Banach spaces of distributions having two module structures
- On a new Segal algebra
- Gabor analysis and algorithms. Theory and applications
- On a (no longer) new Segal algebra: a review of the Feichtinger algebra
- Approximation of the Fourier transform and the dual Gabor window
- Convolutions for localization operators
- Advances in Gabor analysis
- The inner kernel theorem for a certain Segal algebra
- Time-frequency analysis of operators
- A Wiener Tauberian theorem for operators and functions
- The Segal algebra \(\mathbf S_0(\mathbb R^d)\) and norm summability of Fourier series and Fourier transforms
- Topics in approximation theory
- \(L^ 1\)-algebras and Segal algebras
- Thoughts on Numerical and Conceptual Harmonic Analysis
- Elements of Postmodern Harmonic Analysis
- Banach Spaces of Distributions Defined by Decomposition Methods, I
- Banach Spaces of Distributions Defined by Decomposition Methods II
- A Simple Wilson Orthonormal Basis with Exponential Decay
- Wilson Bases and Modulation Spaces
- A Novel Mathematical Approach to the Theory of Translation Invariant Linear Systems
- Convolutions for Berezin quantization and Berezin-Lieb inequalities
- Distribution Theory by Riemann Integrals
- Modulation Spaces
- Choosing Function Spaces in Harmonic Analysis
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