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arXiv:math/0512226 [math.CA]AbstractReferencesReviewsResources

The Overdeterminedness of a Class of Functional Equations

Orr Shalit

Published 2005-12-11Version 1

We prove a uniqueness theorem for a large class of functional equations in the plane, which resembles in form a classical result of Aczel. It is also shown that functional equations in this class are overdetermined in the sense of Paneah. This means that the solutions, if they exist, are determined by the corresponding relation being fulfilled not in the original domain of validity, but only at the points of a subset of the boundary of the domain of validity.

Comments: 6 pages
Journal: Aequationes Mathematicae, Vol. 74, No. 3, 2007, 242-248
Categories: math.CA, math.DS
Subjects: 39B22
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