%0 Journal Article
%T TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS
%J Iranian Journal of Science and Technology (Sciences)
%I Springer
%Z 1028-6276
%A YANG, S.
%A LIN, J.
%D 2010
%\ 12/01/2010
%V 34
%N 4
%P 321-334
%! TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS
%K Two-direction poly-scale refinement equation
%K -solutions
%K iterated function systems
%R 10.22099/ijsts.2010.2182
%X In this paper, we study L1 -solutions of the following two-direction poly-scale refinement equationWe prove that the vector space of all L1 -solutions of the above equation is at most one-dimensional andconsists of compactly supported functions of constant sign. We also show that any- L1 solution of the aboveequation is either positive or negative on its support under a special assumption. With regard to the -solutions of the equation, some simple sufficient conditions for the existence of nontrivial -solutions andthe nonexistence of such solutions are given.
%U http://ijsts.shirazu.ac.ir/article_2182_627de8f44897b33f1b0d477fdc205182.pdf