Colombeau type generalized functions of compact spectrum with respect to the Hankel transformation

Authors
Rodriguez-Mesa, L
Citation
L. Rodriguez-mesa, Colombeau type generalized functions of compact spectrum with respect to the Hankel transformation, MATH NACHR, 230, 2001, pp. 143-157
Citations number
12
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
230
Year of publication
2001
Pages
143 - 157
Database
ISI
SICI code
0025-584X(2001)230:<143:CTGFOC>2.0.ZU;2-O
Abstract
In this note we introduce an adequate notion of generalized functions with compact spectrum with respect to the Hankel transform on certain spaces of generalized functions of Colombeau type. Also, we present subspaces where t he behaviour of the Hankel transform is analogous to the classic one.