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YANG, S., LIN, J.. (1389). TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS. , 34(4), 321-334. doi: 10.22099/ijsts.2010.2182
S. YANG; J. LIN. "TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS". , 34, 4, 1389, 321-334. doi: 10.22099/ijsts.2010.2182
YANG, S., LIN, J.. (1389). 'TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS', , 34(4), pp. 321-334. doi: 10.22099/ijsts.2010.2182
YANG, S., LIN, J.. TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS. , 1389; 34(4): 321-334. doi: 10.22099/ijsts.2010.2182

TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS

Iranian Journal of Science
مقاله 5، دوره 34، شماره 4، اسفند 2010، صفحه 321-334    اصل مقاله (159.19 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2010.2182
نویسندگان
S. YANG* ؛ J. LIN
Department of Mathematics, Shantou University, Shantou, P. R. China
چکیده
In this paper, we study L1 -solutions of the following two-direction poly-scale refinement equation
We prove that the vector space of all L1 -solutions of the above equation is at most one-dimensional and
consists of compactly supported functions of constant sign. We also show that any- L1 solution of the above
equation 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 and
the nonexistence of such solutions are given.
کلیدواژه‌ها
Two-direction poly-scale refinement equation؛ -solutions؛ iterated function systems
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