Work

p-Adic refinable functions and MRA-based wavelets

Year: 2007

Type: preprint

Abstract: We described a wide class of $p$-adic refinable equations generating $p$-adic multiresolution analysis. A method for the construction of $p$-adic orthogonal wavelet bases within the framework of the MRA theory is suggested. A realization of this method is illustrated by an example, which gives a new 3-adic wavelet basis. Another realization leads to the $p$-adic Haar bases which were known before.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.0711.2820

Authors: Khrennikov, A. Yu., Shelkovich, V. M., Skopina, M.

Institutions: Saint Petersburg State University of Architecture and Civil Engineering, St Petersburg University

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2950569646

Cites:

Cited by: 13

Related to: 10