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Duality for frames (Q5964232)

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scientific article; zbMATH DE number 6546926

Language	Label	Description	Also known as
English	Duality for frames	scientific article; zbMATH DE number 6546926

Statements

scholarly article

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Duality for frames (English)

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Andreas Heinecke

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The Journal of Fourier Analysis and Applications

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publication date

29 February 2016

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zbMATH Keywords

dual frame

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adjoint system

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duality principle

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wavelets

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Gabor frame

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dual Gramian analysis

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filter bank

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00041-015-9415-0

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Convergence analysis for iterative data-driven tight frame construction scheme

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Sobolev duals in frame theory and Sigma-Delta quantization

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The canonical and alternate duals of a wavelet frame

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Constructing finite frames of a given spectrum and set of lengths

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A framelet-based image inpainting algorithm

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Image restoration: Total variation, wavelet frames, and beyond

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Image restoration: a wavelet frame based model for piecewise smooth functions and beyond

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Blind motion deblurring using multiple images

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Data-driven tight frame construction and image denoising

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Linearized Bregman Iterations for Frame-Based Image Deblurring

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Split Bregman Methods and Frame Based Image Restoration

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Frames Containing a Riesz Basis and Preservation of This Property Under Perturbations

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Constructing tight fusion frames

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Finite frames. Theory and applications.

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Duality principles in frame theory

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Deconvolution: a wavelet frame approach

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Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments

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CONSTRUCTION OF SMOOTH COMPACTLY SUPPORTED WINDOWS GENERATING DUAL PAIRS OF GABOR FRAMES

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Pairs of dual Gabor frame generators with compact support and desired frequency localization

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Frames and bases. An introductory course

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On entire functions restricted to intervals, partition of unities, and dual Gabor frames

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On the duality principle by Casazza, Kutyniok, and Lammers

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Pairs of explicitly given dual Gabor frames in \(L^{2}(\mathbb R^{d})\)

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Characterizing R-duality in Banach spaces

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Biorthogonal bases of compactly supported wavelets

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Orthonormal bases of compactly supported wavelets

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The wavelet transform, time-frequency localization and signal analysis

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Ten Lectures on Wavelets

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Painless nonorthogonal expansions

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The canonical dual frame of a wavelet frame

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Pairs of dual wavelet frames from any two refinable functions

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Framelets: MRA-based constructions of wavelet frames

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A Simple Wilson Orthonormal Basis with Exponential Decay

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Gabor time-frequency lattices and the Wexler-Raz identity

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Frame based segmentation for medical images

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Wavelet frame based blind image inpainting

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Image Restoration: Wavelet Frame Shrinkage, Nonlinear Evolution PDEs, and Beyond

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X-ray CT image reconstruction via wavelet frame based regularization and Radon domain inpainting

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Pseudo-splines, wavelets and framelets

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A Class of Nonharmonic Fourier Series

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A butterfly subdivision scheme for surface interpolation with tension control

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Dual Gramian analysis: Duality principle and unitary extension principle

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Banach spaces related to integrable group representations and their atomic decompositions. I

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Banach spaces related to integrable group representations and their atomic decompositions. II

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Gabor frames and time-frequency analysis of distributions

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Wiener amalgam spaces for the fundamental identity of Gabor analysis

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Construction of biorthogonal multiwavelets using the lifting scheme

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Image Restoration with Mixed or Unknown Noises

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Irregular sampling of wavelet and short-time Fourier transforms

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Foundations of time-frequency analysis

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The mystery of Gabor frames

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Compactly supported tight wavelet frames and orthonormal wavelets of exponential decay with a general dilation matrix

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The Projection Method for Multidimensional Framelet and Wavelet Analysis

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Algorithm for constructing symmetric dual framelet filter banks

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Dual wavelet frames and Riesz bases in Sobolev spaces

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Wavelets and recursive filter banks

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Estimates for translation invariant operators in \(L^p\) spaces

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Recovering Over-/Underexposed Regions in Photographs

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Duality and biorthogonality for Weyl-Heisenberg frames

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Multivariate Compactly Supported Fundamental Refinable Functions, Duals, and Biorthogonal Wavelets

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Compactly supported (bi)orthogonal wavelets generated by interpolatory refinable functions

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Directional frames for image recovery: multi-scale discrete Gabor frames

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Multiresolution and wavelets

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A pair of orthogonal frames

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Gabor frames with trigonometric spline dual windows

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Wavelet families of increasing order in arbitrary dimensions

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On the density of phase-space expansions

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Gabor dual spline windows

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Convergence of multidimensional cascade algorithm

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Wavelet Frame Based Algorithm for 3D Reconstruction in Electron Microscopy

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On general frame decompositions

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Wavelet frame based color image demosaicing

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A theory for multiresolution signal decomposition: the wavelet representation

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Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\)

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Wavelets and pre-wavelets in low dimensions

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Multidimensional Interpolatory Subdivision Schemes

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Density theorems for sampling and interpolation \\ in the Bargmann-Fock space

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Frames and Stable Bases for Shift-Invariant Subspaces of L<sub>2</sub>(ℝ<sup>d</sup>)

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Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems

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Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator

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Generalized shift-invariant systems

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Quantum mechanics on phase space

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On the connection between exponential bases and certain related sequences in \(L^ 2 (-\pi, \pi)\)

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An Accelerated Proximal Gradient Algorithm for Frame-Based Image Restoration via the Balanced Approach

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The discrete wavelet transform: wedding the a trous and Mallat algorithms

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On orthonormal wavelets and paraunitary filter banks

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Irregular wavelet/Gabor frames

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Wavelet Frame Based Multiphase Image Segmentation

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Wavelets and filter banks: theory and design

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Continuity properties of the Gabor frame operator

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00041-015-9415-0

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Sitelinks

Mathematics(1 entry)

mardi Publication:5964232

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