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G-FRAME: 作品数：19被引量：70H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关期刊：《Acta Mathematica Scientia》《Chinese Quarterly Journal of Mathematics》《Frontiers of Mathematics in China》《Journal of Mathematical Research with Applications》更多>>; 相关基金：国家自然科学基金福建省自然科学基金中国博士后科学基金天津市自然科学基金更多>>

Stabilities of delay stochastic McKean-Vlasov equations in the G-framework: 《Science China(Information Sciences)》2025年第1期252-274,共23页Haiyan YUAN Quanxin ZHU; supported by National Natural Science Foundation of China(Grant Nos.12271368,62173139);Natural Science Foundation of Hunan Province(Grant No.2023JJ30388);Science and Technology Innovation Program of Hunan Province(Grant No.2021RC4030);Natural Science Foundation of Heilongjiang Province(Grant No.LH2023A019);Foundation of Innovation Talent of Heilongjiang Institute of Technology(Grant Nos.2024GJ01,2023GJ10).; This article focuses on a type of stochastic McKean-Vlasov equation in the G-framework(G-SMVE)and addresses the stability issue for delay stochastic McKean-Vlasov equations in the G-framework(G-SMVDEs).Distribution de...; 关键词：delay stochastic McKean-Vlasov equations Wasserstein distance G-Brownian motion Lions derivative stability

CHARACTEIZATIONS OF WOVENT g-FRAMES AND WEAVING g-FRAMES IN HILBERT SPACESS AND C^(*)-MODULES: 《Acta Mathematica Scientia》2023年第6期2471-2482,共12页Amir KHOSRAVI Mohammad Reza FARMANI; In this paper,using Parseval frames we generalize Sun’s results to g-frames in Hilbert C^(*)-modules.Moreover,for g-frames in Hilbert spaces,we present some characterizations in terms of a family of frames,not only f...; 关键词：G-FRAME fusion frame woven frame Riesz basis g-Riesz basis

Robustness and Iterative Reconstruction of g-Fusion Frames in Hilbert Spaces: 《Journal of Mathematical Research with Applications》2021年第3期270-278,共9页Vahid SADRI; Regarding the application of the fusion frames and generalization of them in data proceeding,their iterative is of particular importance when one of their members is deleted.In this note,a method for reconstruction of...; 关键词：Parseval frame G-FRAME g-fusion frame

A Note on the Stability of K-g-frames: 《Communications in Mathematical Research》2019年第4期345-353,共9页XIANG ZHONG-QI Ji You-qing; The NSF(11761057,11561057)of China; In this paper,we present a new stability theorem on the perturbation of K-g-frames by using operator theory methods.The result we obtained improves one corresponding conclusion of other authors.; 关键词：G-FRAME K-g-frame FRAME OPERATOR STABILITY

Joint Similarities and Parameterizations for Dilations of Dual g-frame Pairs in Hilbert Spaces: 《Acta Mathematica Sinica,English Series》2019年第11期1827-1840,共14页Xun Xiang GUO; In this paper, we give an operator parameterization for the set of dilations of a given pair of dual g-frames and the set of dilations of pairs of dual g-frames of a given g-frame. In particular,for the dilations of a...; 关键词：G-FRAME DUAL G-FRAME pair dilation g-Riesz basis JOINT similarity

Path independence of additive functionals for stochastic differential equations under G-framework被引量：3: 《Frontiers of Mathematics in China》2019年第1期135-148,共14页Panpan REN Fen-Fen YANG; The path independence of additive functionals for stochastic differential equations (SDEs) driven by the G-Brownian motion is characterized by the nonlinear partial differential equations. The main result generalizes ...; 关键词：Stochastic DIFFERENTIAL EQUATION (SDE) partial DIFFERENTIAL EQUATION (PDE) additive functional G-SDEs G-Brownian motion nonlinear PDE

A New Characterization on g-frames in Hilbert C^*-Modules被引量：1: 《Communications in Mathematical Research》2017年第2期129-134,共6页Xiang Zhong-qi; The NSF(11271148,11561057)of China;the NSF(20151BAB201007)of Jiangxi Province;the Science and Technology Project(GJJ151061)of Jiangxi Education Department; In this note, we establish a new characterization on g-frames in Hilbert C;-modules from the operator-theoretic point of view, with which we provide a correction to one result recently obtained by Yao(Yao X Y. Some pr...; 关键词：Hilbert C*-module G-FRAME characterization

SOME PROPERTIES OF OPERATOR-VALUED FRAMES被引量：1: 《Acta Mathematica Scientia》2016年第2期469-476,共8页Laura GAVRUTA Pasc GAVRUTA; The final work of P.Gǎvruta on this article was supported by a grant of Romanian National Authority for Scientific Research,CNCS-UEFISCDI,project number PN-II-ID-JRP-2011-2/11-RO-FR/01.03.2013; Operator-valued frames （or g-frames） are generalizations of frames and fusion frames and have been used in packets encoding, quantum computing, theory of coherent states and more. In this article, we give a new form...; 关键词：FRAMES g-frames

Invariance principles for the law of the iterated logarithm under G-framework被引量：9: 《Science China Mathematics》2015年第6期1251-1264,共14页WU PanYu CHEN ZengJing; supported by China Postdoctoral Science Foundation(Grant No.2013M541899);the Natural Science Foundation of Shandong Province of China(Grant Nos.ZR2013AQ021 and ZR2014AM002);National Natural Science Foundation of China(Grant Nos.11471190,11401414 and 11231005);the Natural Science Foundation of Jiangsu Province of China(Grant No.BK20140299); We obtain a general invariance principle of G-Brownian motion for the law of the iterated logarithm(LIL for short). For continuous bounded independent and identically distributed random variables in G-expectation spac...; 关键词：iterated logarithm invariance expectation Brownian continuity union satisfy automatically details

APPROXIMATE DUALITY OF g-FRAMES IN HILBERT SPACES被引量：9: 《Acta Mathematica Scientia》2014年第3期639-652,共14页Amir KHOSRAVI Morteza MIRZAEE AZANDARYANI; In this article, we introduce and characterize approximate duality for g-frames. We get some important properties and applications of approximate duals. We also obtain some new results in approximate duality of frames...; 关键词：FRAME G-FRAME approximate duality PERTURBATION reconstruction

G-FRAME