A Moment Characterization of B-Valued Generalized Functionals of White Noise
查看参考文献15篇
|
文摘
|
Kernel theorems are established for Bananch space-valued multilinear mappings, A moment characterization theorem for Banach space-valued generalized functionals of white noise is proved by using the above kernel theorems. A necessary and sufficient condition in terms of moments is given for sequences of Banach space-valued generalized functionals of white noise to converge strongly. The integration is also discussed of functions valued in the space of Banach space-valued generalized functionals. |
|
来源
|
Acta Mathematica Sinica. English Series
,2006,22(1):157-168 【核心库】
|
|
DOI
|
10.1007/s10114-004-0523-z
|
|
关键词
|
White noise analysis
;
B-valued generalized functionals
;
Moment characterization
|
|
地址
|
1.
School of Mathematics and Information Science Northwest Normal University, Lanzhou, 730070
2.
Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074
|
|
语种
|
英文 |
|
ISSN
|
1439-8516 |
|
学科
|
数学 |
|
基金
|
甘肃省自然科学基金
;
西北师范大学科技创新工程项目基金
;
国家自然科学基金
|
|
文献收藏号
|
CSCD:2674149
|
参考文献 共
15
共1页
|
|
1.
Hida T.
White Noise-An Infinite Dimensional Calculus,1993
|
CSCD被引
4
次
|
|
|
|
|
2.
Potthoff J. A characterization of Hida distributions.
J Funct Anal,1991,101:212-229
|
CSCD被引
2
次
|
|
|
|
|
3.
Kondratiev Yu G. Spaces of white noise distributions:constructions applications I.
Rep Math Phys,1993,33:341-366
|
CSCD被引
2
次
|
|
|
|
|
4.
Obata N. :Operator calculus on vector-valued white noise functionals.
J Funct Anal,1994,121:185-208
|
CSCD被引
4
次
|
|
|
|
|
5.
Obata N. An analytic characterization of symbols of operators on white noise functionals.
J Math Soc Japan,1993,45:421-445
|
CSCD被引
8
次
|
|
|
|
|
6.
Chung D M. A characterization theorem for operators on white noise functionals.
J Math Soc Japan,1999,51:437-447
|
CSCD被引
6
次
|
|
|
|
|
7.
Ji U C. Analytic characterization of generalized Fock space operators as twovariable entire functions with growth condition.
Inf Dim Anal Quantum Probab Rel Topics,2002,3:395-407
|
CSCD被引
2
次
|
|
|
|
|
8.
Wang C S.
Banach Space-Valued Generalized Functionals ofWhite Noise Preprint,2003
|
CSCD被引
1
次
|
|
|
|
|
9.
Huang Z Y.
Introduction to Infinite Dimensional Stochastic Analysis,1999
|
CSCD被引
4
次
|
|
|
|
|
10.
Kuo H H.
White Noise Distribution Theory,1996
|
CSCD被引
4
次
|
|
|
|
|
11.
Yan J A. Notes on the Wiener semigroup and renormalizations.
LN in Math,1991,1485:79-94
|
CSCD被引
2
次
|
|
|
|
|
12.
Huang Z Y. Quantum cable equations in terms of generalized operators.
Acta Appl Math,2000,63:151-164
|
CSCD被引
3
次
|
|
|
|
|
13.
Luo S L. :Wick algebra of generalized operators involving quantum white noise.
J Operator Theory,1997,38:367-378
|
CSCD被引
8
次
|
|
|
|
|
14.
Wang C S. A Filtration of Wick Algebra and Its Application to Quantum SDEs.
Acta Mathematica Sinica,2004,20(6):999-1008
|
CSCD被引
3
次
|
|
|
|
|
15.
Wang C S. Analytic characterization for Hilbert-Schmidt operators on Fock space.
Acta Mathematica Sinica,2005,21(4)
|
CSCD被引
1
次
|
|
|
|
|
了解气象卫星更多信息，请访问