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...
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...
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...
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...
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...
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 ...
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...
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 ...
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...
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 ...