Approximation of partially smooth functions

Approximation of partially smooth functions

导出

摘要 In this paper we discuss approximation of partially smooth functions by smooth functions. This problem arises naturally in the study of laminated currents. In this paper we discuss approximation of partially smooth functions by smooth functions. This problem arises naturally in the study of laminated currents.

作者 John Erik FORN/ESS Erlend Fornaess WOLD

机构地区 Mathematics Department Mathematisches Institut

出处《Science China Mathematics》 SCIE 2008年第4期553-561,共9页 中国科学：数学（英文版）

基金 This work is supported by the Natonal Science Foundation(NSF)(Grant No.DMS-0400614) the Schweizerische National fonds(Grant No.200021-116165/1)

关键词 APPROXIMATION CURRENTS test functions 57R30 32U40 approximation currents test functions

分类号 O174 [理学—数学]

引文网络
相关文献

参考文献5

1J. E. Forn?ss,N. Sibony.Harmonic currents of finite energy and laminations[J].GAFA Geometric And Functional Analysis.2005(5) 被引量：1
2Fornaess J E,Sibony N.Harmonic currents and finite energy of laminations[].Geometric and Functional Analysis.2005 被引量：1
3Fornodss J E,Sibony N.Unigue ergodicity of harmonic currents on sigular foliations of P~2[]..2006 被引量：1
4Fornaess J E,Wang Y,Wold E F.Laminated currents[].J Ergodic Theory Dynam. 被引量：1
5Fornaess J E,Wang Y,Wold E F.Laminated harmonie Currents[]..2007 被引量：1

1Gang-tong Qu.Singularities of the Radon Transform of a Class of Piecewise Smooth Functions in R^2[J].Acta Mathematicae Applicatae Sinica,2011,27(2):191-208.
2宋士奇.AN INFINITE DIMENSIONAL ANALOGUE OF THE ALBEVERIO-RCKNER'S THEOREM ON FUKUSHIMA'S CONJECTURE[J].Acta Mathematicae Applicatae Sinica,1993,9(2):115-124.
3Ye Maodong Zhejiang University,China.OPTIMAL ERROR BOUNDS FOR THE CUBIC SPLINE INTERPOLATION OF LOWER SMOOTH FUNCTIONS(1)[J].Analysis in Theory and Applications,1993,9(4):46-54.
4姚宗元,邱春晖,钟春平.A new Leray formula for smooth functions on bounded domains in C^n[J].Science China Mathematics,2002,45(5):610-619.
5渠刚荣.Singularities of the Radon Transform of a Class of Piecewise Smooth Functions in R^2[J].数学进展,2008,37(5):637-639.
6戴峰,孙永生.Kolmogorov Width of Classesof Smooth Functions on the Sphere S^(d-1)[J].数学进展,2002,31(2):181-184.
7Gui-xia LU,Long-jun SHEN.Relations between Directional Derivatives for Smooth Functions in 2D and 3D Spaces[J].Acta Mathematicae Applicatae Sinica,2016,32(4):899-912.
8Vesselin Vatchev.ON APPROXIMATION OF SMOOTH FUNCTIONS FROM NULL SPACES OF OPTIMAL LINEAR DIFFERENTIAL OPERATORS WITH CONSTANT COEFFICIENTS[J].Analysis in Theory and Applications,2011,27(2):187-200.
9Chuandong Qin,Sanyang Liu.Fuzzy smooth support vector machine with different smooth functions[J].Journal of Systems Engineering and Electronics,2012,23(3):460-466. 被引量：5
10李大潜,赵彦淳.GLOBAL DISCONTINUOUS SOLUTIONS TO A CLASS OF DISCONTINUOUS INITIAL VALUE PROBLEMS FOR THE SYSTEM OF ISENTROPIC FLOW AND APPLICATIONS^(***)[J].Chinese Annals of Mathematics,Series B,1989,10(1):1-18. 被引量：1

Science China Mathematics

2008年第4期

浏览历史

内容加载中请稍等...

Approximation of partially smooth functions

参考文献5

相关作者

相关机构

相关主题

浏览历史