On a cosine functional equation for operators on the algebra of analytic functions in a domain

In this paper, we give a complete characterization of all linear functionals M and L on H(G), the algebra of analytic functions on an open set G, satisfying the functional equation M(fg) = M(f)M(g) --L(f)L(g). [PUBLICATION ABSTRACT]

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Bibliographic Details
Published in:Aequationes mathematicae 2001-05, Vol.61 (3), p.233-238
Main Authors: Kannappan, PL, Nandakumar, N. R.
Format: Article
Language:English
Subjects:
Algebra
Algorithms
Probability
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Summary:In this paper, we give a complete characterization of all linear functionals M and L on H(G), the algebra of analytic functions on an open set G, satisfying the functional equation M(fg) = M(f)M(g) --L(f)L(g). [PUBLICATION ABSTRACT]
ISSN:0001-9054
1420-8903
DOI:10.1007/s000100050175