Hermite functions and weighted spaces of generalized functions

DOI10.1007/s00229-005-0605-yzbMath1101.46026OpenAlexW2081641058MaRDI QIDQ818800

Michael Langenbruch

Publication date: 21 March 2006

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-005-0605-y

zbMATH Keywords

Hermite functionshyperfunctionsabsolute basisGelfand and Shilov spacespower series space

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Hyperfunctions, analytic functionals (46F15) Locally convex Fréchet spaces and (DF)-spaces (46A04) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Summability and bases in topological vector spaces (46A35) Graded Fréchet spaces and tame operators (46A61)

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Cites Work

• Ultradifferentiable Functions on Compact Intervals
• Right inverses for partial differential operators\cr on Fourier hyperfunctions
• Generalized Fourier expansion in kernels of convolution operators on Fourier hyperfunctions
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