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VALUED: 作品数：444被引量：503H指数：10; 导出分析报告; 相关领域：理学更多>>; 相关作者：陈之兵张广济张成邹开其吴群励更多>>; 相关机构：深圳大学南京航空航天大学大连大学北京协和医院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金中国博士后科学基金国家重点基础研究发展计划广东省自然科学基金更多>>

Some Mean Convergence Theorems for the Maximum of Normed Double Sums of Banach Space Valued Random Elements: 《Acta Mathematica Sinica,English Series》2024年第7期1727-1740,共14页Andrew ROSALSKY Le Van THANH Nguyen Thi THUY; In this correspondence,we establish mean convergence theorems for the maximum of normed double sums of Banach space valued random elements.Most of the results pertain to random elements which are M-dependent.We expand...; 关键词：Double sum mean convergence Rademacher type p Banach space Banach space valued random element M-dependent random elements

Controllability and Observability of Linear Quaternion-valued Systems被引量：1: 《Acta Mathematica Sinica,English Series》2020年第11期1299-1314,共16页Bang Xin JIANG Yang LIU Kit Ian KOU Zhen WANG; the Natural Science Foundation of Zhejiang Province of China(Grant Nos.LR20F030001 and LD19A010001);the National Natural Science Foundation of China(Grant No.11671361);the University of Macao(Grant No.MYRG2019-00039-FST);the Science and Technology Development Fund,Macao SAR(Grant No.FDCT/085/2018/A2)。; The aim of this paper is to define an extension of the controllability and observability for linear quaternion-valued systems(QVS).Some criteria for controllability and observability are derived,and the minimum norm c...; 关键词：Linear system CONTROLLABILITY OBSERVABILITY QUATERNION

Complex Valued Bismut-Lott Index Theorem: 《Acta Mathematica Sinica,English Series》2020年第11期1221-1231,共11页Guang Xiang SU; NSFC(Grant No.11931007)。; In this paper,assuming there is a fiberwise Morse function,we extend Bismut-Lott indextheorem to the complex valued case.; 关键词：Bismut-Lott index theorem Morse function Witten deformation

Accretivity of the General Second Order Linear Differential Operator: 《Acta Mathematica Sinica,English Series》2019年第6期832-852,共21页V.G.MAZ'YA I.E.VERBITSKY; For the general second order linear differential operator ■ with complex-valued distributional coefficients a_(jk), b_j, and c in an open set Ω ? R^n(n ≥ 1), we present conditions which ensure that-L^0 is accretive...; 关键词：Accretive differential operators complex-valued coefficients Schr?dinger operator form boundedness

A Tree-valued Markov Process Associated with an Admissible Family of Branching Mechanisms: 《Acta Mathematica Sinica,English Series》2019年第1期135-160,共26页Hong Wei BI Hui HE; supported by NSFC(Grant No.11801075);supported by NSFC(Grant Nos.11671041,11531001 and 11371061);the Fundamental Research Funds for the Central Universities in UIBE(Grant No.16QN04); Let E■R be an interval. By studying an admissible family of branching mechanisms{ψt,t ∈E} introduced in Li [Ann. Probab., 42, 41-79(2014)], we construct a decreasing Levy-CRT-valued process {Tt, t ∈ E} by pruning ...; 关键词：Pruning admissible family branching process random tree Lévy tree tree-valued process ascension process

Phase Retrieval of Real-valued Functions in Sobolev Space: 《Acta Mathematica Sinica,English Series》2018年第12期1778-1794,共17页You Fa LI De Guang HAN; supported by Natural Science Foundation of China(Grant Nos.61561006 and11501132);Natural Science Foundation of Guangxi(Grant No.2016GXNSFAA380049);the support from NSF under the(Grant Nos.DMS-1403400 and DMS-1712602); The Sobolev space HS（Rd） with s 〉 d/2 contains many important functions such as the bandlimited or rational ones. In this paper we propose a sequence of measurement functions { φj^r,k}∈C H^-S（R^d） to the phase ...; 关键词：Sobolev space phase retrieval measurement function perturbation retrievable stability reconstruction stability.

Vitali Type Convergence Theorems for Banach Space Valued Integrals: 《Acta Mathematica Sinica,English Series》2013年第11期2027-2036,共10页Marek BALCERZAK Kazimierz MUSIAL; Supported by the Polish Ministry of Science and Higher Education(Grant Nos.N N201 414939 for M.Balcerzak,N N201 416139 for K.Musial); Let （Ω,∑,μ） be a complete probability space and let X be a Banach space. We introduce the notion of scalar equi-convergence in measure which being applied to sequences of Pettis integrable functions generates a n...; 关键词：Convergence theorems for integrals Pettis integral scalar equi-convergence in measure I-CONVERGENCE 28A20 28B05 40A10 40A30 46G10

Geometric Schrdinger-Airy Flows on Khler Manifolds: 《Acta Mathematica Sinica,English Series》2013年第2期209-240,共32页Xiao Wei SUN You De WANG; Supported by National Natural Science Foundation of China(Grant No.10990013); We define a class of geometric flows on a complete Kahler manifold to unify some physical and mechanical models such as the motion equations of vortex filament, complex-valued mKdV equa- tions, derivative nonlinear Sc...; 关键词：SchrSdinger-Airy flow complex-valued mKdV equation KdV flow generalized Hasimoto transformation geometric energy method conversation laws

Some Strong Laws of Large Numbers for Blockwise Martingale Difference Sequences in Martingale Type p Banach Spaces被引量：1: 《Acta Mathematica Sinica,English Series》2012年第7期1385-1400,共16页Andrew ROSALSKY Le Van THANH; supported in part by the National Foundation for Science Technology Development,Vietnam (NAFOSTED) (Grant No. 101.02.32.09); For a blockwise martingale difference sequence of random elements {Vn, n ≥ 1} taking values in a real separable martingale type p （1 ≤ p ≤ 2） Banach space, conditions are provided for strong laws of large numbers...; 关键词：Sequence of Banach space valued random elements blockwise martingale difference sequence strong law of large numbers almost sure convergence martingale type p Banach space

An L^0(F,R)-valued Function's Intermediate Value Theorem and Its Applications to Random Uniform Convexity被引量：2: 《Acta Mathematica Sinica,English Series》2012年第5期909-924,共16页Tie Xin GUO Xiao Lin ZENG; Supported by National Natural Science Foundation of China (Grant No. 10871016); Let （Ω, F, P） be a probability space and L0（F,R） the algebra of equivalence classes of real- valued random variables on （Ω, F, P）. When L0（F,R） is endowed with the topology of convergence in probability, we ...; 关键词：L0（F R）-valued function intermediate value theorem random normed module random uniform convexity modulus of random convexity

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