Kernel theorems for the spaces of tempered ultradistributions
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Publication:5423825
DOI10.1080/10652460701445658zbMath1131.46029OpenAlexW2130268315MaRDI QIDQ5423825
Dušanka Perišić, Zagorka Lozanov-Crvenković
Publication date: 31 October 2007
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652460701445658
Integral transforms in distribution spaces (46F12) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Topological linear spaces of test functions, distributions and ultradistributions (46F05)
Related Items (9)
Semilinear pseudodifferential equations in spaces of tempered ultradistributions ⋮ Hilbert Space Embeddings for Gelfand–Shilov and Pilipović Spaces ⋮ Sharp results for the Weyl product on modulation spaces ⋮ Anti-Wick and Weyl quantization on ultradistribution spaces ⋮ Schatten properties, nuclearity and minimality of phase shift invariant spaces ⋮ The Bargmann transform on modulation and Gelfand-Shilov spaces, with applications to Toeplitz and pseudo-differential operators ⋮ Pseudodifferential operators of infinite order in spaces of tempered ultradistributions ⋮ Wave packet analysis of Schrödinger equations in analytic function spaces ⋮ Boundedness of Gevrey and Gelfand-Shilov kernels of positive semi-definite operators
Cites Work
- Multiresolution expansion, approximation order and quasiasymptotic behavior of tempered distributions
- Optimal Gevrey classes for the existence of solution operators for linear partial differential operators in three variables
- Linear partial differential operators and generalized distributions
- Harmonic Analysis in Phase Space. (AM-122)
- On the convolution in gel'fand—shilov spaces
- Distributions and Their Hermite Expansions
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