# How to construct wavelets on local fields of positive characteristic

**Authors:** Gleb Berdnikov, Iuliia Kruss, Sergey Lukomskii

arXiv: 1702.01246 · 2017-02-07

## TL;DR

This paper introduces an algorithm for constructing step wavelets on local fields of positive characteristic, advancing the mathematical tools available for analysis on these fields.

## Contribution

The paper provides a novel algorithm specifically designed for constructing wavelets on local fields of positive characteristic, filling a gap in existing methods.

## Key findings

- Algorithm successfully constructs wavelets on local fields of positive characteristic
- Enables new analysis techniques in mathematical fields involving such local fields
- Potential applications in signal processing and number theory

## Abstract

We present an algorithm for construction step wavelets on local fields of positive characteristic.

## Full text

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## References

18 references — full list in the complete paper: https://tomesphere.com/paper/1702.01246/full.md

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Source: https://tomesphere.com/paper/1702.01246