# Multiframelet Properties on $\mathbb{Q}_p$

## TL;DR

This paper investigates the properties and structures of multiframelets in the $p$-adic setting, including operator characterization and set generation in $L^{2}(Q_p)$, advancing understanding of $p$-adic wavelet theory.

## Contribution

It introduces new results on multiframelet properties, operators, and sets in $p$-adic spaces, expanding the theoretical framework of $p$-adic wavelets.

## Key findings

- Analysis of multiframelet properties in $L^{2}(Q_p)$
- Characterization of multiframelet operators in $p$-adic context
- Construction and examination of multiframelet sets in $Q_p$

## Abstract

This paper produces various results on $p$-adic multiframelet. Multiframelet is a frame-like sequence generated by multiple functions along with wavelet structure. Various properties of multiframelet in $L^{2}(\mathbb{Q}_{p})$ have been analyzed. Also multiframelet operator on $p$-adic setting has been produced and characterized. Furthermore, multiframelet set in $\mathbb{Q}_{p}$ has been engendered and scrutinized.