• Corpus ID: 195886187

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

@article{Haldar2019CharacterizationsOM,
  title={Characterizations of Multiframelets on \$\mathbb\{Q\}\_\{p\}\$},
  author={Debasis Haldar and Animesh Bhandari},
  journal={arXiv: Functional Analysis},
  year={2019}
}
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… 

References

SHOWING 1-10 OF 19 REFERENCES

Continuous and Discrete Wavelet Transforms

TLDR
This paper is an expository survey of results on integral representations and discrete sum expansions of functions in $L^2 ({\bf R})$ in terms of coherent states, focusing on Weyl–Heisenberg coherent states and affine coherent states.

Characterizations of woven frames

TLDR
Methods of constructing woven frames are provided, in particular, bounded linear operators are used to create woven frames from a given frame.

Wavelet analysis as a p-adic spectral analysis

New orthonormal basis of eigenfunctions for the Vladimirov operator of p–adic fractional derivation is constructed. The map of p–adic numbers onto real numbers (p–adic change of variable) is

Frames, Riesz bases, and discrete Gabor/wavelet expansions

This paper is a survey of research in discrete expansions over the last 10 years, mainly of functions in L 2 (R). The concept of an orthonormal basis {fn}, allowing every function f ∈ L 2 (R) to be

PAINLESS NONORTHOGONAL EXPANSIONS

In a Hilbert space H, discrete families of vectors {hj} with the property that f=∑j〈hj‖ f〉hj for every f in H are considered. This expansion formula is obviously true if the family is an orthonormal

WIENER AMALGAM SPACES IN GENERALIZED HARMONIC ANALYSIS AND WAVELET THEORY

Title of Dissertation: WIENER AMALGAM SPACES IN GENERALIZED HARMONIC ANALYSIS AND WAVELET THEORY Christopher Edward Heil, Doctor of Philosophy, 1990 Dissertation directed by: Professor John J.

The wavelet transform, time-frequency localization and signal analysis

TLDR
Two different procedures for effecting a frequency analysis of a time-dependent signal locally in time are studied and the notion of time-frequency localization is made precise, within this framework, by two localization theorems.

An introduction to nonharmonic Fourier series

Bases in Banach Spaces - Schauder Bases Schauder's Basis for C[a,b] Orthonormal Bases in Hilbert Space The Reproducing Kernel Complete Sequences The Coefficient Functionals Duality Riesz Bases The