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INVERTIBLE SEQUENCES OF BOUNDED LINEAR OPERATORS

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Acta Mathematica Scientia 2011年第5期31卷 1939-1944页

作者：臧丽丽孙文昌 Department of Mathematics and LPMC Nankai University

In this paper, we study the invertibility of sequences consisting of finitely many bounded linear operators from a Hilbert space to others. We show that a sequence of operators is left invertible if and only if it is ... 详细信息

关键词： frames g-frames riesz bases g-riesz bases

THE RECOVERY OF FUNCTIONS OF PALEY-WIENER CLASS FROM IRREGULAR SAMPLINGS

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Acta Mathematica Scientia 2002年第4期22卷 466-472页

作者：房艮孙陈雪冬 Department of Mathematics Beijing Normal University Beijing 100875 China

It is shown that a function f which is in the classical Paley-Wiener class, and its k-th derivative f((k)) can be recovered in the metric L-q (R), 2 < q < infinity, from its values on irregularly distributed discrete ... 详细信息

It is shown that a function f which is in the classical Paley-Wiener class, and its k-th derivative f((k)) can be recovered in the metric L-q (R), 2 riesz basis for L-2([-pi, pi]).

关键词： tempered spline interpolation Paley-Wienerclass riesz bases

Density Results for Subspace Multiwindow Gabor Systems in the Rational Case

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Acta Mathematica Sinica,English Series 2013年第5期29卷 897-912页

作者： Qiao Fang LIAN Hai Li MA Department of Mathematics Beijing Jiaotong University

Let S be a periodic set in R and L2（S） be a subspace of L2（R）. This paper investigates the density problem for multiwindow Gabor systems in L2（S） for the case that the product of time- frequency shift parameters is a rational number. We derive the density conditions for a multiwindow Gabor system to be complete （a frame） in L2（S）. Under such conditions, we construct a multiwindow tight Gabor frame for L2 （S） with window functions being characteristic functions. We also provide a characterization of a multiwindow Gabor frame to be a riesz basis for L2（S）, and obtain the density condition for a multiwindow Gabor riesz basis for L2 （S）.

关键词： Multiwindow Gabor frames riesz bases subspaces Zak transform density conditions

IRREGULAR WAVELET FRAMES AND GABOR FRAMES

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Analysis in Theory and Applications 2001年第3期17卷 90-100页

作者： Ole Christensen Sergio Favier Felipe Zó Department of Mathematics Technical University of DenmarkBuilding 3032800LyngbyDenmark Instituto de Matemática Aplicada San Luis Universidad Nacional de San Luis Consejo Nacional de Investigaciones Científicasy TécnicasAvda.Ejercito de Los Andes950 5700San LuisArgentina

Given g∈L 2(R n ), we consider irregular wavelet for the form $\left\{ {\lambda ^{\frac{n}{2}} g\left( {\lambda _j x - kb} \right)} \right\}_{j\varepsilon zj\varepsilon z^n } ,where\;\lambda _j $ > 0 and b > 0. Sufficient conditions for the wavelet system to constitute a frame for L 2(R n ) are given. For a class of functions g∈L 22(R n ) we prove that certain growth conditions on {λ j } will frames, and that some other types of sequences exclude the frame property. We also give a sufficient condition for a Gabor system $\left\{ {e^{zrib\left( {j,x} \right)} g\left( {x - \lambda _k } \right)} \right\}_{j\varepsilon z^n ,k\varepsilon z} $ to be a frame.

关键词： sufficient condition Stability of Frames Wavelet Transforms Wavelet Frames riesz bases

Properties of Vector-valued Multivariable Wavelet Packets with m-scale

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Properties of Vector-valued Multivariable Wavelet Packets wi...