Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions | Zendy

Byung Keun Sohn | Zendy

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Multiresolution Expansion and Approximation Order of Generalized Tempered Distributions

Author(s) -

Byung Keun Sohn

Publication year - 2013

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2013/190981

Subject(s) - mathematics , kernel (algebra) , invariant (physics) , convergence (economics) , context (archaeology) , mathematical analysis , order (exchange) , space (punctuation) , operator (biology) , function (biology) , pure mathematics , computer science , mathematical physics , paleontology , biochemistry , chemistry , finance , repressor , evolutionary biology , transcription factor , gene , economics , biology , economic growth , operating system

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.

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