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For the Gibbs measure which is obtained as the limit of finite size Gibbs measures with free boundary con- dition, a central limit theorem is also proved, but the limit is not
As a matter of fact, we are going to prove a multi-variable analytic Fredholm theorem, establish a trace-determinant formula, and derive the result mentioned above as a corollary..
Nevertheless, as he also mentions right before the above remark (s. cit.), some aspects of the theory over these fields are more interesting and richer, because of the interplay
Using Theorem 5 in conjunction with the different cases of Theorem 6 we will be able to take any Riordan path and add a horizontal step anywhere above the axis, and find the
In the topological setting, this group of torsion elements occurs as the kernel of a properly discontinuous action.. This theorem was proved in several steps, where the first step
The question as to the validity of Fatou’s theorem for a bicylinder was considered in [7], where it is proved that in the neighborhood of some point the density of the Poisson
By using the Hopf’s bifurcation theorem and the above mentioned result, we will discuss the existence of small amplitude periodic solutions of equation (1.1), taking as
Necessary and sucient conditions for membership in k -UCV, as well as sharp growth and distortion theorems for k -uniformly convex functions are given.. The obtained results
