The Hermite function expansions of the Heaviside function

We calculate the coefficients of Hermite function expansions of the Heaviside functions, x + p with p ∈ N , 1 x ± i 0 , the signum sgn ( x ) and the principal value p.v. 1 x , explicitly.

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Bibliographic Details
Published inJournal of pseudo-differential operators and applications Vol. 6; no. 1; pp. 21 - 32
Main Author Kagawa, Toshinao
Format Journal Article
LanguageEnglish
Published Basel Springer Basel 01.03.2015
Subjects
Algebra
Analysis
Applications of Mathematics
Functional Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Partial Differential Equations
Integral Representation
Functional Analysis
Partial Differential Equation
Orthonormal Basis
Differential Equation
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Summary:We calculate the coefficients of Hermite function expansions of the Heaviside functions, x + p with p ∈ N , 1 x ± i 0 , the signum sgn ( x ) and the principal value p.v. 1 x , explicitly.
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-015-0109-9