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On functional equations associated with characters of unitary representations of groups
Authors:Zbigniew Gajda
Affiliation:1. Institute of Mathematics, Silesian University, Bankowa 14, PL-40-007, Katowice, Poland
Abstract:
This is mainly concerned with the following functional equation:

$$fleft( x right)fleft( y right) = frac{1}{{left| Phi  right|}}sumlimits_{varphi  in Phi } {M_t left( {fleft( {xtvarphi left( y right)t^{ - 1} } right)} right)} , x,y in G,$$
Keywords:AMS (1991) subject classification Primary 39B52  Secondary 43A60, 43A65
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