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It is proved that the fundamental group of the space of harmonic polynomials of degree n(n ≥ 2), with the same Gaussian curvature is not trivial. Furthermore, we give an example of topologically noneq...
Maximal subextensions of plurisubharmonic functions
Maximal subextensions plurisubharmonic functions
2010/12/10
In this paper we are concerned with the problem of local and global subextensions of (quasi-)plurisubharmonic functions from a ”regular”subdomain of a compact K¨ahler manifold. We prove that a precise...
陈杰诚，浙江大学数学系博士生导师、教授。研究方向：调和分析及其应用、流形上分析、小波分析。主要学术与荣誉获奖情况：1990：“做出突出贡献的中国博士学位获得者”；1992：浙江省青年科技奖（第二届）；1992：中国青年科技奖（第三届）。2001年以来发表的主要论文：Rough Bilinear Fractional Integrals with Variable Kernels (with Das...
Factorization and dilation problems for completely positive maps on von Neumann algebras
Factorization dilation problems for completely positive maps von Neumann algebras
2010/11/29
We study factorization and dilation properties of Markov maps between von Neumann algebras
equipped with normal faithful states, i.e., completely positive unital maps which preserve the
given states...
Analytical three-dimensional bright solitons and soliton-pairs in Bose-Einstein condensates with time-space modulation
Analytical three-dimensional bright solitons soliton-pairs in Bose-Einstein condensates time-space modulation
2010/12/15
We provide analytical three-dimensional bright multi-soliton solutions to the (3+1)-dimensional
Gross-Pitaevskii (GP) equation with time and space-dependent potential, time-dependent nonlinearity,and...
Empirical processes, typical sequences and coordinated actions in standard Borel spaces
Terms—Coordination via communication empirical processes Glivenko–Cantelli classes
2010/11/26
This paper proposes a new notion of typical sequences on a wide class of abstract alphabets (so-called standard Borel spaces), which is based on approximations of memoryless sources by empirical distr...
Image Inpainting Based On Coherence Transport With Adapted Distance Functions
Image Processing Image Inpainting Distance Functions
2010/11/26
We discuss an extension of our method Image Inpainting Based on Coherence Transport. For the
latter method the pixels of the inpainting domain have to be serialized into an ordered list. Up till now,...
On the Hadamard type inequalities involving product of two convex functions on the co-ordinates
Convex, s− convex Co-ordinates Product of functions Hadamard’s inequality
2010/12/9
In this paper some Hadamard-type inequalities for product of convex funcitons of 2−variables on the co-ordinates are given.
Reduced, tame and exotic fusion systems
Classifying space p-completion finite groups fusion
2010/11/29
We define here two new classes of saturated fusion systems, reduced fusion systems and tame fusion systems. These are motivated by our attempts to better understand and search for exotic fusion system...
The Möbius function of partitions with restricted block size
Euler and tangent numbers descent set statistic set partition lattice
2010/12/9
The purpose of this paper is to compute the Mobius function of lters in the partitio lattice
formed by restricting to partitions by type. The Mobius function is determined in terms of the
descent...
We study pairs (,G), where is a ‘Buekenhout–Tits’ pregeometry with all rank 2 truncations connected, and G 6 Aut is transitive on the set of elements of each type. The ...
It is well-known that duality in the Monge-Kantorovich transport problem holds true provided that the cost function c : X×Y ! [0,1] is lower semi-continuous or finitely valued, but it may fail otherwi...
国内外数学专家在南开大学研讨表示论与调和分析（图）
南开大学 国内外数学专家 表示论与调和分析
2010/6/12
2010年6月6日，由南开大学数学科学学院主办的“表示论和调和分析”国际研讨会在省身楼开幕。七十余位来自美国、日本及国内的数学专家汇聚一堂，就“表示论和调和分析”进行深入探讨。南开大学副校长许京军出席开幕式并致辞，代表学校对与会来宾表示欢迎，并对即将进行大会报告的专家学者表示感谢。