Wavelets in Sobolev space over local fields of positive characteristics

Author:

Pathak Ashish1ORCID,Singh Guru P.1

Affiliation:

1. Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, India

Abstract

The Sobolev space over local fields [Formula: see text] is defined. A multiresolution analysis for the Sobolev space is developed. Orthonormal wavelets with respect to these space are constructed and an example is also presented.

Funder

CSIR New DElhi

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Multilevel wavelet packets in sobolev space over local fields of positive characteristic;Afrika Matematika;2024-08-17

2. Multiresolution Analysis on Sobolev Space over Local Fields of Positive Characteristic and Characterization of Scaling Function;Iranian Journal of Mathematical Sciences and Informatics;2024-04-01

3. Wavelets for nonuniform non-stationary MRA on $H^s(\mathbb{K})$;Boletim da Sociedade Paranaense de Matemática;2022-12-21

4. Biorthogonal Wavelet Packets in $$H^s(\mathbb {K})$$;International Journal of Applied and Computational Mathematics;2021-12-07

5. The necessary and sufficient conditions for wavelet frames in Sobolev space over local fields;Boletim da Sociedade Paranaense de Matemática;2021-01-01

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