A characterization of the generalized functions via the special Hermite expansions

DOI10.1007/S11868-015-0133-9zbMath1345.46034OpenAlexW2102833044MaRDI QIDQ262286

Yasuyuki Oka, Toshinao Kagawa

Publication date: 29 March 2016

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-015-0133-9

zbMATH Keywords

generalized functionspecial Hermite expansionspecial Hermite function

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Hyperfunctions, analytic functionals (46F15) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (1)

Eigenfunction expansions of ultradifferentiable functions and ultradistributions in \(\mathbb R^n\)

Cites Work

• Harmonic analysis as spectral theory of Laplacians
• Hyperfunction quantum field theory
• Weyl transforms
• The Hermite function expansions of the Heaviside function
• On the Weyl Transform with Symbol in the Gel'fand-Shilov Space and its Dual Space
• Distributions and Their Hermite Expansions
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