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Colombeau Type Generalized Functions of Compact Spectrum with respect to the Hankel Transformation
Author(s) -
RodríguezMesa Lourdes
Publication year - 2001
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200110)230:1<143::aid-mana143>3.0.co;2-c
Subject(s) - mathematics , linear subspace , hankel transform , generalized function , hankel matrix , type (biology) , transformation (genetics) , spectrum (functional analysis) , pure mathematics , mathematical analysis , algebra over a field , fourier transform , ecology , biochemistry , chemistry , physics , quantum mechanics , gene , biology
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 the behaviour of the Hankel transform is analogous to the classic one.