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Lp Solutions of Vector Refinement Equations with General Dilation Matrix
Lp Solutions Vector Refinement Equations General Dilation Matrix
2018/4/20
The purpose of this paper is to investigate the solutions of refinement equations of the form'(x) = X®2Zs a(®)'(Mx ¡ ®); x 2 Rs; where the vector of functions ' = ('1; :::; 'r)T is...
On the Lp Solutions of Dilation Equations
Dilation equtions tiles wavelets self-similar measures 433 Zülfigar AKDOĞ AN GOP Ü niversitesi Fen Edebiyat Fakültesi Tokat-TURKEY Abdullah MAĞ DEN Atatürk Ü niversitesi
2010/3/1
Let A \in Mn ({\Bbb Z}) be an expanding matrix with | {\det (A)} | = q and let K = {k1 \cdots kq} \subseteq {\Bbb R}n be a digit set. The set \cal T =:\cal T(A,K) = {\sumi=1\infty A-i kji : kji \in K}...