TY - JOUR
ID - 2182
TI - TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS
JO - Iranian Journal of Science and Technology (Sciences)
JA - IJSTS
LA - en
SN - 1028-6276
AU - YANG, S.
AU - LIN, J.
AD - Department of Mathematics, Shantou University, Shantou, P. R. China
Y1 - 2010
PY - 2010
VL - 34
IS - 4
SP - 321
EP - 334
KW - Two-direction poly-scale refinement equation
KW - -solutions
KW - iterated function systems
DO - 10.22099/ijsts.2010.2182
N2 - 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.
UR - http://ijsts.shirazu.ac.ir/article_2182.html
L1 - http://ijsts.shirazu.ac.ir/article_2182_627de8f44897b33f1b0d477fdc205182.pdf
ER -