A Hilbert space approach to distributions

DOI10.1017/S0308210500020643zbMath0746.46028OpenAlexW2327791157MaRDI QIDQ3970326

Rainer Picard

Publication date: 25 June 1992

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500020643

zbMATH Keywords

Schwartz distributionstempered derivativechain of Sobolev type Hilbert spacesinvariant with respect to the Fourier transformlocally tempered distributions

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Operations with distributions and generalized functions (46F10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (1)

Hilbert spaces of tempered distributions, Hermite expansions and sequence spaces

Cites Work

• A version of Egorov's theorem for systems of hyperbolic pseudo- differential equations
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