Analysis the relation between foreign direct investment and Anhui economy growth with joint inspection and Gelan-jie examination,the result indicates:foreign direct investmen flows into Anhui promoting economic growth in Anhui,but the economy growth in Anhui has little attractive effect to foreign direct investmen.
In the second example, we obtain a proof of the Chalyh-Veselov conjecture that the Calogero-Moser system with integer parameter is algebraically integrable, using the results of Felder and Varchenko.
As an application of the results we prove a generalization of Chevalley's restriction theorem for the classical Lie algebras.
We apply these results to intersection theory on varieties with group actions, especially to Schubert calculus and its generalizations.
In this paper, we prove three types of rigidity results related to CAT(-1) spaces, namely the rigidity of the isometric actions on CAT(-1) spaces under the commensurability subgroups, the higher rank lattices and certain ergodic cocycles.
This extends the results and simplifies the proof for the classical orbit structure description of  and , which applies whenF=Z.
A basis is calledmonomial if each of its elements is the result of applying to a (fixed) highest weight vector a monomial in the Chevalley basis elementsYα, α a simple root, in the opposite Borel subalgebra.
The result generalizes and implies the classical "branching rules" that describe the restriction of an irreducible representation of the symmetric groupSn toSn-1.
Implementing this point of view, Poisson Summation Formulas are proved in several spaces including integrable functions of bounded variation (where the result is known) and elements of mixed norm spaces.
We use interpolation methods to prove a new version of the limiting case of the Sobolev embedding theorem, which includes the result of Hansson and Brezis-Wainger for Wnk/k as a special case.
The weighted inequalities allow us to transfer the result to the ergodic case, when the operator is induced by a mean bounded, invertible, positive groups.