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国家自然科学基金(10990012): 作品数：15被引量：20H指数：2; 导出分析报告; 相关作者：水鹏朗许述文杨晓超彭立中郭紫华更多>>; 相关机构：西安电子科技大学北京大学南京大学更多>>; 相关期刊：《西安电子科技大学学报（社会科学版）》《中国科学：数学》《中国科学：信息科学》《电路与系统学报》更多>>; 相关主题：HEISENBERG_GROUPQUATERNIONOPERATORTHEOREMDETECTOR更多>>; 相关领域：理学电子电信自动化与计算机技术轻工技术与工程更多>>

Wiener measure for Heisenberg group被引量：1: 《Science China Mathematics》2014年第8期1605-1614,共10页LIU HePing WANG YingZhan; supported by National Natural Science Foundation of China (Grant No. 10990012);50-Class General Financial Grant from the China Postdoctoral Science Foundation (Grant No. 2011M501317); We build Wiener measure for the path space on the Heisenberg group by using of the heat kernel corresponding to the sub-Laplacian and give the definition of the Wiener integral.Then we give the FeynmanKac formula.; 关键词：Heisenberg group C-C distance sub-Laplacian operator Wiener measure Feynman-Kac formula

带有限L^p函数的一个刻画及其应用: 《中国科学：数学》2014年第5期469-476,共8页郭紫华彭立中; 国家自然科学基金(批准号:11271023,11371037和10990012)资助项目; 利用Shannon-Nyquist采样定理的思想,本文给出带有限Lp函数类的一个刻画,并且利用这个刻画得到Schr¨odinger方程的若干估计,如Strichartz型和倒时空Strichartz估计等,同时也给出若干已知估计的简单证明.; 关键词：带有限函数采样定理 SCHRODINGER方程

Wavelet Transform and Radon Transform on the Quaternion Heisenberg Group被引量：5: 《Acta Mathematica Sinica,English Series》2014年第4期619-636,共18页Jian Xun HE He Ping LIU; supported by National Natural Science Foundation of China(Grant Nos.10971039 and 11271091);the second author is supported by National Natural Science Foundation of China(Grant No.10990012);the Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.2012000110059); Let be the quaternion Heisenberg group, and let P be the affine automorphism group of . We develop the theory of continuous wavelet transform on the quaternion Heisenberg group via the unitary representations of P on...; 关键词：Quaternion Heisenberg group wavelet transform Radon transform inverse Radon transform

Joint eigenfunctions of invariant differential operators on the quaternion Heisenberg group被引量：1: 《Science China Mathematics》2013年第2期435-441,共7页LIU HePing ZHU XiaoJie; supported by National Natural Science Foundation of China(Grant Nos.10871003 and 10990012); Let L be the sublaplacian on the quaternion Heisenberg group N and T the Dirac type operator with respect to central variables of N. In this article, we characterize the He-valued joint eigenfunctions of L and T havin...; 关键词：Dirac type operator Heisenberg group joint eigenfunction QUATERNION SUBLAPLACIAN

Homogeneous Approximation Property for Wavelet Frames with Matrix Dilations,Ⅱ被引量：1: 《Acta Mathematica Sinica,English Series》2013年第1期183-192,共10页Zhi Jing ZHAO Wen Chang SUN; Supported partially by National Natural Science Foundation of China(Grant Nos.10971105and10990012);Natural Science Foundation of Tianjin(Grant No.09JCYBJC01000); The homogeneous approximation property （HAP） states that the number of building blocks involved in a reconstruction of a function up to some error is essentially invariant under time-scale shifts. In this paper, we ...; 关键词：Wavelet frames homogeneous approximation property HAP matrix dilations

作为席勒思想之开端的诗歌——兼及与欧洲近代精神的关联: 《西安电子科技大学学报（社会科学版）》2012年第6期61-66,175,共6页宋宁刚; 集诗人、戏剧家和思想家于一身的席勒,其思想的整体之真正开端在于他的早期诗歌,尤其是他极具代表性的长诗。由诗歌所开启的席勒之思,首先在于对普遍人性的爱与赞美——普遍的人性体现在同时代的哲学里即是对人的理性的普遍承认;其次是...; 关键词：席勒自然普遍人性理性自由

一种利用距离脉冲二维局部特性的距离扩展目标的检测方法: 《电路与系统学报》2012年第5期36-41,共6页许述文水鹏朗; 国家自然科学基金重大项目(10990012);中央高校基本科研业务费(K5051202037);广西无线宽带通信与信号处理重点实验室开放基金(12205); 针对传统的二进制积累检测器阈值设置的不足,提出基于距离维和脉冲维二维局部模糊阈值函数来获取精炼脉冲距离二维图像从而进行积累检测的新算法。该算法将单脉冲距离维的距离扩展目标检测问题推广为多脉冲距离脉冲二维图像的目标检测问...; 关键词：二进制积累二维局部模糊阈值能量积累散射点分布密度广义似然比

Performance analysis of multi-channel order statistics detector for range-spread target被引量：5: 《Journal of Systems Engineering and Electronics》2012年第5期689-699,共11页Shuwen Xu Penglang Shui; supported by the Major Program of National Natural Science Foundation of China (10990012);the National Natural Science Foundation of China (61201296,61271024);the Fundamental Research Funds for the Central Universities (K5051202037);Guangxi Key Lab of Wireless Wideband Communication & Signal Processing (12205); The problem of two order statistics detection schemes for the detection of a spatially distributed target in white Gaussian noise are studied.When the number of strong scattering cells is known,we first show an optima...; 关键词：order statistics strong scattering cell MULTI-CHANNEL range-spread target

Invariance of shift-invariant spaces被引量：1: 《Science China Mathematics》2012年第7期1395-1401,共7页ZHANGQingYue SUNWenChang; supported partially by National Natural Science Foundation of China(Grant Nos. 10971105, 10990012);Natural Science Foundation of Tianjin (Grant No. 09JCYBJC01000); In this paper, we give a characterization of shift-invariant subspaces which are also invariant under additional non-integer translations. Both principal and finitely generated shift-invariant subspaces are studied. O...; 关键词：shift-invariant spaces translation-invariant spaces 1/n-translation system

基于FRFT的非线性调频信号双特征检测方法被引量：2: 《中国科学：信息科学》2011年第10期1200-1209,共10页许述文水鹏朗杨晓超; 国家自然科学基金(批准号:10990012)资助项目; 强噪声中的未知非线性调频信号检测一直是实际检测领域中的一个难点问题.非线性调频信号的相位历史是关于时间的未知平滑函数,并且该函数不能或者很难用少量参数来建模.由于相位模型的缺失,我们提出一种基于接连分数阶Fourier变换和双...; 关键词：分数阶 FOURIER 变换双特征检测非参数化检测多重中值滤波

国家自然科学基金(10990012)