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Refinement Equations and Feller Operators

Authors:

Janusz Morawiec Rafał Kapica

Institution:

1.Institute of Mathematics,Silesian Univeristy,Katowice,Poland

Abstract:

Results on the existence and non-existence of nontrivial \mathbb L¹{\mathbb L^1}-solutions of the refinement equation

f(x)=ò_W\|detK(w)\|f(K(w)x-L(w))dP(w)f(x)={\int\limits_{\Omega}}\|\det K(\omega)\|f(K(\omega)x-L(\omega))dP(\omega)

Keywords:
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