Structural theorems for Gelfand–Shilov spaces

DOI10.1080/10652460802568127zbMath1171.46029OpenAlexW2061826789MaRDI QIDQ3619806

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Publication date: 9 April 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460802568127

zbMATH Keywords

ultradistributionsHermite expansionGelfand-Shilov spacesstructure theoremFourier-Hermite coefficientssequence spaces.quasi-analytic and non-quasianalytic case

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Sequence spaces (including Köthe sequence spaces) (46A45) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Cites Work

• Unnamed Item
• Hermite functions and weighted spaces of generalized functions
• Optimal Gevrey classes for the existence of solution operators for linear partial differential operators in three variables
• Linear partial differential operators and generalized distributions
• Distributions and Their Hermite Expansions

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