Multiresolution Analysis on Sobolev Space over Local Fields of Positive Characteristic and Characterization of Scaling Function

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Pathaka Ashish; Kumar Dileep

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Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2024 | Volume:19 | Issue:1 Page(s): 161-174

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Title

Multiresolution Analysis on Sobolev Space over Local Fields of Positive Characteristic and Characterization of Scaling Function

Author(s)

Pathaka Ashish | Kumar Dileep | Issue Writer Certificate

Keywords

Wavelets

Multiresolution analysis

Local fields

Sobolev space

Fourier transform

Abstract

A general concept of Wavelets and Multiresolution analysis on Sobolev space over Local fields of positive characteristic (Hs(K)) is given. A characterization of the scaling functions associated with an MRA is also given

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