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Generalized functions as sequence spaces with ultranorms.

Authors :
Hasler, Maximilian F.
Source :
Integral Transforms & Special Functions. Mar2006, Vol. 17 Issue 2/3, p149-156. 8p.
Publication Year :
2006

Abstract

We review our recent formulation of Colombeau-type algebras as Hausdorff sequence spaces with ultranorms, defined by sequences of exponential weights. We extend previous results and give new perspectives related to echelon-type spaces, possible generalizations, asymptotic algebras, concepts of association, and applications thereof. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*SEQUENCE spaces
*TOPOLOGICAL algebras
*THEORY of distributions (Functional analysis)
*VECTOR topology
*FUNCTIONAL analysis

Details

Language :
English
ISSN :
10652469
Volume :
17
Issue :
2/3
Database :
Academic Search Index
Journal :
Integral Transforms & Special Functions
Publication Type :
Academic Journal
Accession number :
20700225
Full Text :
https://doi.org/10.1080/10652460500437807
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