Decompositions of Gelfand-Shilov kernels into kernels of similar class
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Publication:451007
DOI10.1016/j.jmaa.2012.06.025zbMath1262.47040arXiv1112.4314OpenAlexW2963990080MaRDI QIDQ451007
Sven Nordebo, Börje Nilsson, Joachim Toft, Andrei Yu. Khrennikov
Publication date: 26 September 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.4314
distributionssingular valuesHermite functionsSchwartz spaceSchatten-von Neumann classeskernel theorems
Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Kernel operators (47B34)
Related Items (19)
Continuity and Schatten-von Neumann properties for localization operators on modulation spaces ⋮ Factorizations and singular value estimates of operators with Gelfand-Shilov and Pilipović kernels ⋮ Null-controllability of hypoelliptic quadratic differential equations ⋮ Uncertainty principles in Gelfand-Shilov spaces and null-controllability ⋮ Gelfand-Shilov Smoothing Effect for the Radially Symmetric Spatially Homogeneous Landau Equation under the Hard Potential γ=2 ⋮ Short-time asymptotics of the regularizing effect for semigroups generated by quadratic operators ⋮ Unnamed Item ⋮ SPECTRAL INEQUALITIES FOR COMBINATIONS OF HERMITE FUNCTIONS AND NULL-CONTROLLABILITY FOR EVOLUTION EQUATIONS ENJOYING GELFAND–SHILOV SMOOTHING EFFECTS ⋮ Hilbert Space Embeddings for Gelfand–Shilov and Pilipović Spaces ⋮ Geometric conditions for the null-controllability of hypoelliptic quadratic parabolic equations with moving control supports ⋮ Bilinear localization operators on modulation spaces ⋮ Liftings for ultra-modulation spaces, and one-parameter groups of Gevrey-type pseudo-differential operators ⋮ The Cauchy problem for the inhomogeneous non-cutoff Kac equation in critical Besov space ⋮ Schatten properties, nuclearity and minimality of phase shift invariant spaces ⋮ Multiplication Properties in Gelfand–Shilov Pseudo-differential Calculus ⋮ Continuity Properties of Multilinear Localization Operators on Modulation Spaces ⋮ Gelfand-Shilov and Gevrey smoothing effect of the Cauchy problem for Fokker-Planck equation ⋮ Spectral estimates for finite combinations of Hermite functions and null-controllability of hypoelliptic quadratic equations ⋮ Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation
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- Quasianalytic Gelfand-Shilov spaces with application to localization operators
- Characterization of pseudodifferential operator and application
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- Classes of Degenerate Elliptic Operators in Gelfand-Shilov Spaces
- Generalization of Zemanian Spaces of Generalized Functions which Have Orthonormal Series Expansions
- Factorization in some Fréchet algebras of differentiable functions
- Characterizations of the Gelfand-Shilov spaces via Fourier transforms
- Multiplication Properties in Gelfand–Shilov Pseudo-differential Calculus
- Eigenfunction Expansions of Analytic Functions
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