搜索结果: 16-30 共查到“理学 frames”相关记录48条 . 查询时间(0.062 秒)
A NEW IDENTITY FOR PARSEVAL FRAMES
Bessel sequence Frame Hilbert space Parseval frame Parseval Frame Identity
2015/9/29
In this paper we establish a surprising new identity for Parseval frames in a Hilbert space. Several variations of this result are given, including an extension to general frames. Finally, we discuss ...
This paper addresses the natural question: “How should frames be compared?” We answer this question by quantifying the overcompleteness of all frames with the same index set. We introduce the concept ...
Redundancy is the qualitative property which makes Hilbert space frames so useful in practice. However, developing a meaningful quantitative notion of redundancy for infinite frames has proven elusive...
In this paper we study the property of phase retrievability by redundant sysems of vectors under perturbations of the frame set. Specifically we show that if a set F of m vectors in the complex Hilber...
FRAMES AND PHASELESS RECONSTRUCTION AMS SHORT COURSE:JOINT MATHEMATICS MEETINGS SAN ANTONIO,2015
FRAMES AND PHASELESS RECONSTRUCTION AMS SHORT COURSE JOINT MATHEMATICS MEETINGS SAN ANTONIO
2015/9/29
Frame design for phaseless reconstruction is now part of the broader problem of nonlinear recon- struction and is an emerging topic in harmonic analysis. The problem of phaseless reconstruction can be...
Stability of Phase Retrievable Frames
Frames phase retrieval problem perturbations critical redundancy
2015/9/29
In this paper we study the property of phase retrievability by redundant sysems of vectors under perturbations of the frame set. Specifically we show that if a set F of m vectors in the complex Hilber...
Continuous Curvelet Transform: II. Discretization and Frames
Curvelets Parabolic Scaling Fourier Integral Operator
2015/8/21
We develop a unifying perspective on several decompositions exhibiting directional parabolic
scaling. In each decomposition, the individual atoms are highly anisotropic at fine scales,
with e&...
Recovering Edges in Ill-Posed Inverse Problems: Optimality of Curvelet Frames
Ill-Posed Inverse Problems Regularization
2015/8/21
We consider a model problem of recovering a function f(x1; x2) from noisy Radon
data. The function f to be recovered is assumed smooth apart from a discontinuity
along a C2 curve { i.e. an edge. We ...
New Tight Frames of Curvelets and Optimal Representations of Objects with C2 Singularities
Curvelets wavelets second dyadic decomposition edges nonlinear approximation singularities thresholding Radon transform
2015/6/17
This paper introduces new tight frames of curvelets to address the problem of finding optimally sparse representations of objects with discontinuities along C2 edges.Conceptually, the curvelet transfo...
Continuous Curvelet Transform:II. Discretization and Frames
Curvelets Parabolic Scaling Fourier Integral Operator Tight Frame
2015/6/17
We develop a unifying perspective on several decompositions exhibiting directional parabolic scaling. In each decomposition, the individual atoms are highly anisotropic at fine scales, with effective ...
Heat kernel generated frames in the setting of Dirichlet spaces
Heat kernel Gaussian bounds Functional calculus Sampling Frames Besov spaces
2012/6/19
Wavelet bases and frames consisting of band limited functions of nearly exponential localization on Rd are a powerful tool in harmonic analysis by making various spaces of functions and distributions ...
Oversampling of wavelet frames for real dilations
wavelets affine frames real dilations Second Oversampling Theorem shift invariant subspaces
2012/4/16
We generalize the Second Oversampling Theorem for wavelet frames and dual wavelet frames from the setting of integer dilations to real dilations. We also study the relationship between dilation matrix...
Frames and Bases in Tensor Product of Hilbert Spaces
Frame bases Tensor product Frame operator Dual frame Hilbert space
2012/4/17
In this article we develop a theory for frames in tensor product of Hilbert spaces. We show that like bases if Y_1, Y_2, \cdot \cdot \cdot, Y_n are frames for H_1,H_2, \cdot \cdot \cdot, H_n, respecti...
Accuracy of second order perturbation theory in the polaron and variational polaron frames
second order perturbation theory in the polaron variational polaron frames
2014/9/24
In the study of open quantum systems, the polaron transformation has recently attracted a renewed interest as it offers the possibility to explore the strong system-bath coupling regime. Despite this ...
Complex Equiangular Tight Frames and Erasures
Equiangular Tight Frames Seidel Matrix Functional Analysis
2011/9/2
Abstract: In this paper we demonstrate that there are distinct differences between real and complex equiangular tight frames (ETFs) with regards to erasures. For example, we prove that there exist arb...