Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions

Byung Keun Sohn

International Journal of Mathematics and Mathematical Sciences, 2013, vol. 2013, 1-8

Abstract:

Let be the generalized tempered distributions of -growth with restricted order , where the function grows faster than any linear functions as . We show the convergence of multiresolution expansions of in the test function space of . In addition, we show that the kernel of an integral operator provides approximation order in in the context of shift-invariant spaces.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:190981

DOI: 10.1155/2013/190981

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