Über die Funktionalgleichung f(f(x)*f(y))=f(x*y) |
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| Authors: | Jean Dhombres Jürgen Spilker |
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| Institution: | (1) Institut de Mathématiques, Université de Nantes, 44037 Nantes-Cedex, Frankreich;(2) Math. Institut der Universität, Hebelstraße 29, 7800 Freiburg i.Br., Bundesrepublik Deutschland |
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| Abstract: | In this paper, the general solution of three functional equations occuring in interpolation theory are given in the general situation when variables belong to a semi-group with unit. We then specialize to some particular cases by specifying either the semi-group, or adding some regular properties like continuity or measurability. |
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