Refinement equations and spline functions
نویسندگان
چکیده
منابع مشابه
Refinement equations and spline functions
In this paper, we exploit the relation between the regularity of refinable functions with non-integer dilations and the distribution of powers of a fixed number modulo 1, and show the nonexistence of a non-trivial C∞ solution of the refinement equation with non-integer dilations. Using this, we extend the results on the refinable splines with non-integer dilations and construct a counterexample...
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ژورنال
عنوان ژورنال: Advances in Computational Mathematics
سال: 2008
ISSN: 1019-7168,1572-9044
DOI: 10.1007/s10444-008-9079-2