Abstract. In the present paper we are going to investigate Wilson's functional equation, where unknown functions are defined on a group and taking their values in an algebra. We express the solution of Wilson's equation in terms of absolutely convergent series of elements of a Banach algebra.
AMS Subject Classification
(1991): 39B52
Keyword(s):
trigonometric functions,
Wilson's equation
Received May 19, 2008, and in revised form June 27, 2008. (Registered under 6065/2009.)
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