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WAVELETS: 作品数：190被引量：216H指数：7; 导出分析报告; 相关领域：理学更多>>; 相关作者：宋建国沈民奋代龙泉谌秋辉更多>>; 相关机构：弗吉尼亚大学中国石油大学（华东）中国石油北京化工大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划湖北省自然科学基金中国博士后科学基金更多>>

FAST ALGORITHM FOR CALDERóN-ZYGMUND OPERATORS:CONVERGENCE SPEED AND ROUGH KERNEL: 《Acta Mathematica Scientia》2016年第2期345-358,共14页杨奇祥丁勇; Supported by NNSF of China(11271209,1137105,11571261)and SRFDP(20130003110003); In this article, we consider a fast algorithm for first generation Calderon-Zygmund operators. First, we estimate the convergence speed of the relative approximation algorithm. Then, we establish the continuity on Bes...; 关键词：First generation Calderon-Zygmund operators WAVELETS rough kernel ring type operators Besov spaces and Triebel-Lizorkin spaces

A CHARACTERIZATION OF ORTHONORMAL WAVELET FAMILIES IN SOBOLEV SPACES被引量：6: 《Acta Mathematica Scientia》2011年第4期1475-1488,共14页鲁大勇李登峰; supported by the National Natural Science Foundation of China (61071189);Innovation Scientists and Technicians Troop Construction of Henan Province of China (084100510012);the Natural Science Foundation for the Education Department of Henan Province of China (2008B510001); In this paper, a characterization of orthonormal wavelet families in Sobolev spaces H s （R） is established.; 关键词：WAVELETS orthonormal wavelet families Sobolev spaces

MULTIRESOLUTION ANALYSIS, SELF-SIMILAR TILINGS AND HAAR WAVELETS ON THE HEISENBERG GROUP被引量：2: 《Acta Mathematica Scientia》2009年第5期1251-1266,共16页刘和平刘宇王海辉; Sponsored by the NSFC (10871003, 10701008, 10726064);the Specialized Research Fund for the Doctoral Program of Higher Education of China (2007001040); In this article, the properties of multiresolution analysis and self-similar tilings on the Heisenberg group are studied. Moreover, we establish a theory to construct an orthonormal Haar wavelet base in L^2（H^d） by ...; 关键词：Heisenberg group multiresolution analysis WAVELETS self-similar tilings

VARIABLE SELECTION BY PSEUDO WAVELETS IN HETEROSCEDASTIC REGRESSION MODELS INVOLVING TIME SERIES: 《Acta Mathematica Scientia》2006年第3期469-476,共8页王清河周勇; Zhou's research was partially supported by the foundations of NatioiMd Natural Science (10471140) and (10571169) of China.; A simple but efficient method has been proposed to select variables in heteroscedastic regression models. It is shown that the pseudo empirical wavelet coefficients corresponding to the significant explanatory variabl...; 关键词：Heteroscedastic regression models variable selection WAVELETS

CONSTRUCTION OF COMPACTLY SUPPORTED BIVARIATE ORTHOGONAL WAVELETS BY UNIVARIATE ORTHOGONAL WAVELETS被引量：4: 《Acta Mathematica Scientia》2005年第2期233-242,共10页杨建伟李落清唐远炎; This research was partially supported by National Natural Science Foundation of China (10371033 60403011).; After some permutation of conjugate quadrature filter, new conjugate quadrature filters can be derived. In terms of this permutation, an approach is developed for constructing compactly supported bivariate orthogonal ...; 关键词：PERMUTATION non-separable wavelets conjugate quadrature filter

WAVELET ESTIMATION FOR JUMPS IN A HETEROSCEDASTIC REGRESSION MODEL被引量：4: 《Acta Mathematica Scientia》2002年第2期269-276,共8页任浩波赵延孟李元谢衷洁; Wavelets are applied to detect the jumps in a heteroscedastic regression model. It is shown that the wavelet coefficients of the data have significantly large absolute values across fine scale levels near the jump poi...; 关键词：Heteroscedastic regression model JUMPS WAVELETS

2-D NONSEPARABLE SCALING FUNCTIONINTERPOLATION AND APPROXIMATION被引量：1: 《Acta Mathematica Scientia》2002年第1期19-31,共13页En-Bing, Lin Yi Ling (Department of Mathematics. University of Toledo, Toledo, OH .43606, USA); The authors introduce nonseparable scaling function interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system. Several equivalent statements of accuracy of nonse...; 关键词：WAVELETS nonseparable scaling function INTERPOLATION accuracy of scaling function. 2-D MRA

JUMP DETECTION BY WAVELET IN NONLINEAR AUTOREGRESSIVE MODELS被引量：2: 《Acta Mathematica Scientia》1999年第3期261-271,共11页李元谢衷洁; Wavelets are applied to detection of the jump points of a regression function in nonlinear autoregressive model x(t) = T(x(t-1)) + epsilon t. By checking the empirical wavelet coefficients of the data,which have signi...; 关键词：jump points nonlinear autoregressive models WAVELETS

ADMISSIBLE WAVELETS ON THE PRODUCT HEISENBERG GROUP H_n: 《Acta Mathematica Scientia》1998年第S1期58-67,共10页何建勋彭立中; Let H. be the n-direct proded of Heisenbery group H, P the affine group of Hn. Then P ho a natural unitary representation U on L2(Hn). In this paper,the direct sum decomposition of irreducible invariant closed subspac...; 关键词：Admissible condition Wavelet transform Heisenbery group Orthogonal dir4ect sum decomposition Generalized upper half-plance

ON THE PERIODIC ORTHONORMAL WAVELET SYSTEM被引量：1: 《Acta Mathematica Scientia》1998年第1期74-78,共5页戴道清林伟; This paper concerns with the point-wise convergence of a wavelet series for L-p functions and the characterization of Holder class by both the partial sums approximation and the best approximation.; 关键词：WAVELETS periodic function partial sums the best approximation

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