Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions
نویسنده
چکیده
Let KMM (R) be the generalized tempered distributions of eeMMMMMM-growth with restricted order rr r N0, where the function MM(MM) grows faster than any linear functions as |MM| x x. We show the convergence of multiresolution expansions ofKMM(R) in the test function spaceKMM(R) ofKMM(R). In addition, we show that the kernel of an integral operatorKK K KMM(R) x KMM(R) provides approximation order inKMM (R) in the context of shift-invariant spaces.
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ورودعنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013