# Characterizations of Multiframelets on $\mathbb{Q}_{p}$

## TL;DR

This paper explores the structure and properties of multiframelets on the p-adic number field, highlighting their potential for signal analysis and reconstruction.

## Contribution

It introduces the concept of multiframelets on 5-adic spaces, analyzes their properties in L^2(5_p), and develops multiframelet sets for signal decomposition.

## Key findings

- Multiframelets can accurately localize temporal and frequency information.
- Properties of multiframelet sequences in L^2(5_p) are characterized.
- Multiframelet sets in 5_p are constructed and examined.

## Abstract

This paper presents a discussion on $p$-adic multiframe by means of its wavelet structure, called as multiframelet, which is build upon $p$-adic wavelet construction. Multiframelets create much excitement in mathematicians as well as engineers on account of its tremendous potentiality to analyze rapidly changing transient signals. Moreover, multiframelets can produce more accurately localized temporal and frequency information, due to this fact it produce a methodology to reconstruct signals by means of decomposition technique. Various properties of multiframelet sequence in $L^{2}(\mathbb{Q}_{p})$ have been analyzed. Furthermore, multiframelet set in $\mathbb{Q}_{p}$ has been engendered and scrutinized.