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检索条件:"刊名=Communications in Mathematics and Statistics "
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Local Observables and Renormalization in Dirac–Segal Approach to QFT
Communications in Mathematics and Statistics2014年第2期155-161,共7页Andrey Losev 
We explain the Dirac–Segal approach to quantum field theory.We study local observables in this approach and the theory of deformations.We found out that this theory of deformation in the second-order coincides with t...
关键词:Quantum field theory Segal axioms RENORMALIZATION 
Octonion Analysis of Several Variables被引量:2
Communications in Mathematics and Statistics2014年第2期163-185,共23页Haiyan Wang Guangbin Ren 
This work was supported by the NNSF of China(11071230),RFDP(20123402110068).
The octonions are distinguished in the M-theory in which Universe is the usual Minkowski space R4 times a G2 manifold of very small diameter with G2 being the automorphism group of the octonions.The multidimensional o...
关键词:Several octonionic variables Bochner–Martinelli formula Hartogs theorem Non-homogenous Cauchy–Riemann equations 
Sobolev Inequalities, Riesz Transforms, and the Ricci Flow
Communications in Mathematics and Statistics2014年第2期187-209,共23页Rugang Ye 
A number of results about deriving further Sobolev inequalities from a given Sobolev inequality are presented.Various techniques are employed,including Bessel potentials and Riesz transforms.Combining these results wi...
关键词:Ricci flow Sobolev inequalities Riesz transforms 
Solutions of Nabla Fractional Difference Equations Using N-Transforms
Communications in Mathematics and Statistics2014年第1期1-16,共16页J.Jagan Mohan G.V.S.R.Deekshitulu 
In the present paper,we present some important properties of N-transform,which is the Laplace transform for the nabla derivative on the time scale of integers(Bohner and Peterson in Dynamic equations on time scales,Bi...
关键词:Fractional difference Caputo type Exponential order N-transform Discrete Mittag-Leffler function 
Isospectral Operators被引量:9
Communications in Mathematics and Statistics2014年第1期17-32,共16页Mu-Fa Chen Xu Zhang 
The results of the paper were presented several times in our seminar,from which the authors are benefited a lot from the discussions and suggestions.Research supported in part by the National Natural Science Foundation of China(No.11131003);the“985”project from the Ministry of Education in China,and the Project Funded by the Priority Academic Program Development of JiangsuHigher Education Institutions.
For a large class of integral operators or second-order differential operators,their isospectral(or cospectral)operators are constructed explicitly in terms of htransform(duality).This provides us a simple way to exte...
关键词:Isospectral·Harmonic function Integral operator Differential operator 
On the Space of Conics on Complete Intersections
Communications in Mathematics and Statistics2014年第1期33-45,共13页Hong R.Zong 
We get sharp degree bound for generic smoothness and connectedness of the space of lines and conics in low degree complete intersections which generalizes the old work about Fano scheme of lines on hypersurfaces.As a ...
关键词:Rational curves Fano varieties Cycles 
Representation of Infinite-Dimensional Forward Price Models in Commodity Markets
Communications in Mathematics and Statistics2014年第1期47-106,共60页Fred Espen Benth Paul Krühner 
We study the forward price dynamics in commodity markets realised as a process with values in a Hilbert space of absolutely continuous functions defined by Filipovi´c(Consistency problems for Heath–Jarrow–Morton in...
关键词:Forward price Infinite-dimensional stochastic processes Lévy processes Commodity markets Heath–Jarrow–Morton approach 
Moving Multiple Curves/Surfaces Approximation of Mixed Point Clouds
Communications in Mathematics and Statistics2014年第1期107-124,共18页Wenyue Feng Zhouwang Yang Jiansong Deng 
The authors are supported by the 111 Project(No.b07033);the NSF of China(11031007,11371341 and 11171332);and Program for New Century Excellent Talents in University(No.NCET-11-0881).
We propose a local model called moving multiple curves/surfaces approximation to separate mixed scanning points received from a thin-wall object,where data from two sides of the object may be mixed due to measurement ...
关键词:Moving multiple curves/Surfaces approximation Mixed point cloud Constrained optimization Surface fitting 
On the Inviscid Limit of the 3D Navier–Stokes Equations with Generalized Navier-Slip Boundary Conditions被引量:3
Communications in Mathematics and Statistics2013年第3期259-279,共21页Yuelong Xiao Zhouping Xin 
This research is supported in part by NSFC 10971174,and Zheng Ge Ru Foundation,and Hong Kong RGC Earmarked Research Grants CUHK-4041/11P,CUHK-4042/08P,a Focus Area Grant from the Chinese University of Hong Kong,and a grant from Croucher Foundation.
In this paper,we investigate the vanishing viscosity limit problem for the 3-dimensional(3D)incompressible Navier-Stokes equations in a general bounded smooth domain of R^3 with the generalized Navier-slip boundary co...
关键词:Navier-Stokes equations Slip boundary conditions Inviscid limit 
The Normalizer Property for Finite GroupsWhose Sylow 2-Subgroups are Abelian
Communications in Mathematics and Statistics2021年第1期87-99,共13页Tao Zheng Xiuyun Guo 
The research of the work was partially supported by the National Natural Science Foundation of China(11771271).
In this paper we mainly investigate the Coleman automorphisms and class-preserving automorphisms of finite AZ-groups and finite groups related to AZ-groups.For example,we first prove that Outc(G)of an AZ-group G must ...
关键词:Class-preserving automorphism Coleman automorphism Normalizer property AZ-group 
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