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.
YANG, S. and LIN, J. (2010). TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS. Iranian Journal of Science, 34(4), 321-334. doi: 10.22099/ijsts.2010.2182
MLA
YANG, S. , and LIN, J. . "TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS", Iranian Journal of Science, 34, 4, 2010, 321-334. doi: 10.22099/ijsts.2010.2182
HARVARD
YANG, S., LIN, J. (2010). 'TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS', Iranian Journal of Science, 34(4), pp. 321-334. doi: 10.22099/ijsts.2010.2182
CHICAGO
S. YANG and J. LIN, "TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS," Iranian Journal of Science, 34 4 (2010): 321-334, doi: 10.22099/ijsts.2010.2182
VANCOUVER
YANG, S., LIN, J. TWO-DIRECTION POLY-SCALE REFINEMENT EQUATIONS WITH NONNEGATIVE COEFFICIENTS. Iranian Journal of Science, 2010; 34(4): 321-334. doi: 10.22099/ijsts.2010.2182
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