English

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

Functional Analysis 2021-04-06 v1

Abstract

This paper presents a discussion on pp-adic multiframe by means of its wavelet structure, called as multiframelet, which is build upon pp-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 L2(Qp)L^{2}(\mathbb{Q}_{p}) have been analyzed. Furthermore, multiframelet set in Qp\mathbb{Q}_{p} has been engendered and scrutinized.

Keywords

Cite

@article{arxiv.1907.05356,
  title  = {Characterizations of Multiframelets on $\mathbb{Q}_{p}$},
  author = {Debasis Haldar and Animesh Bhandari},
  journal= {arXiv preprint arXiv:1907.05356},
  year   = {2021}
}
R2 v1 2026-06-23T10:18:48.135Z