A characterization of the generalized functions via the special Hermite expansions

The aim of this paper is to give the correspondence between the dual space of the Gel’fand–Shilov space on R 2 d and a sequence space via the special Hermite functions and to give the several examples of the special Hermite expansions for the generalized functions on R 2 .

Saved in:
Bibliographic Details
Published inJournal of pseudo-differential operators and applications Vol. 7; no. 1; pp. 1 - 15
Main Authors Kagawa, Toshinao, Oka, Yasuyuki
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.03.2016
Subjects
Algebra
Analysis
Applications of Mathematics
Functional Analysis
Mathematics
Mathematics and Statistics
Operator Theory
Partial Differential Equations
Special Hermite function
Special Hermite expansion
81S30
Generalized function
46F15
46F05
Online AccessGet full text

Cover

More Information
Summary:The aim of this paper is to give the correspondence between the dual space of the Gel’fand–Shilov space on R 2 d and a sequence space via the special Hermite functions and to give the several examples of the special Hermite expansions for the generalized functions on R 2 .
ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-015-0133-9