@article {
author = {YANG, S. and LIN, J.},
title = {TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS},
journal = {Iranian Journal of Science and Technology (Sciences)},
volume = {34},
number = {4},
pages = {321-334},
year = {2010},
publisher = {Springer},
issn = {1028-6276},
eissn = {},
doi = {10.22099/ijsts.2010.2182},
abstract = {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.},
keywords = {Two-direction poly-scale refinement equation,-solutions,iterated function systems},
url = {http://ijsts.shirazu.ac.ir/article_2182.html},
eprint = {http://ijsts.shirazu.ac.ir/article_2182_627de8f44897b33f1b0d477fdc205182.pdf}
}