The Hermite function expansions of the Heaviside function

DOI10.1007/s11868-015-0109-9zbMath1315.33014OpenAlexW2011674758MaRDI QIDQ2345375

Toshinao Kagawa

Publication date: 22 May 2015

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

Full work available at URL: https://doi.org/10.1007/s11868-015-0109-9

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (3)

The Hermite expansion of the characteristic functions ⋮ Hermite expansions of some tempered distributions ⋮ A characterization of the generalized functions via the special Hermite expansions

Cites Work

• On Hermite expansion of $x^p_+$
• Harmonic Analysis in Phase Space. (AM-122)
• On Hermite expansions of $x^k$ and ln|x|
• Distributions and Their Hermite Expansions
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