# Discrete Riesz MRA on local fields of positive characteristic

## TL;DR

This paper introduces a novel method for constructing Riesz multiresolution analysis (MRA) on local fields of positive characteristic, including the development of associated scaling functions.

## Contribution

It presents a new approach to building Riesz MRA structures on local fields of positive characteristic, expanding the mathematical framework for wavelet analysis.

## Key findings

- Constructed Riesz MRA on local fields of positive characteristic
- Developed corresponding scaling step functions
- Established theoretical foundation for further applications

## Abstract

We propose a method to construct Riesz MRA on local fields of positive characteristic and corresponding scaling step functions that generate it.