Frames associated with shift invariant spaces on positive half line
type: Item
instance of: scholarly article
title: Frames associated with shift invariant spaces on positive half line
zbMATH Open document ID: 1483.42017
author: Owais Ahmad
author: Mobin Ahmad
author: Neyaz Ahmad
published in: Acta Universitatis Sapientiae. Mathematica
publication date: 2021-12-27T00:00:00Z
review text: The authors show some necessary and sufficient conditions under which shift-invariant systems become frames on positive half line. Applications to Gabor frames and wavelet frames on positive half line are also presented.
reviewed by: Paşc Găvruţă
Mathematics Subject Classification ID: 42C15
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 43A70
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 41A17
zbMATH DE Number: 7451004
zbMATH Keywords: shift-invariant space
zbMATH Keywords: Walsh wavelet frame
zbMATH Keywords: Gabor frame
zbMATH Keywords: Walsh-Fourier transform
MaRDI profile type: Publication
full work available at URL: ausm-2021-0002
OpenAlex ID: W3198064781
cites work: Q5376378
cites work: SHIFT INVARIANT SPACES FOR LOCAL FIELDS
cites work: \(p\)-adic multiresolution analysis and wavelet frames
cites work: Invariance of a shift-invariant space
cites work: Extra invariance of shift-invariant spaces on LCA groups
cites work: Shift-invariant subspaces an wavelets on local fields
cites work: The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
cites work: The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
cites work: Shift-invariant spaces on LCA groups
cites work: An introduction to frames and Riesz bases
cites work: Characterization of shift-invariant spaces on a class of nilpotent Lie groups with applications
cites work: A Class of Nonharmonic Fourier Series
cites work: Constructions of MRA-based wavelets and frames in Walsh analysis
cites work: Q3999467
cites work: Q5730397
cites work: Wavelet theory as $ p$-adic spectral analysis
cites work: An infinite family of \(p\)-adic non-Haar wavelet bases and pseudo-differential operators
cites work: A unified characterization of reproducing systems generated by a finite family
cites work: Sufficient conditions for shift-invariant systems to be frames in \(L^2({\mathbb R^n})\)
cites work: Unified conditions for wavelet frames
cites work: Construction of vector valued wavelet packets on \(\mathbb{R}_+\) using Walsh-Fourier transform
cites work: Construction of frames for shift-invariant spaces
cites work: Shift invariant spaces on compact groups
cites work: Frames and Stable Bases for Shift-Invariant Subspaces of L2(ℝd)
cites work: Q3997391
cites work: Gabor frames on a half-line
cites work: Walsh shift-invariant sequences and \(p\)-adic nonhomogeneous dual wavelet frames in \(L^{2}(\mathbb{R}_{+})\)
DOI: 10.2478/AUSM-2021-0002
description: scientific article; zbMATH DE number 7451004