Related papers: Subelliptic Estimates
This is a critical discussion of theoretical and descriptive deficiencies of the recently used "flat Odderon" model.
In this article I will review some basic results on elliptic boundary value problems with applications to General Relativity.
An observation on Hall-Littlewood polynomials.
The present paper aims to generalize the Schauder estimate for a class of higher-order hypo-elliptic operators. The results in the present paper apply to parabolic equations of higher order and, for example, operators like…
The supersymmetric theory of (color)superconductivity is investigated.
In this note some properties of the sum of element orders of a finite abelian group are studied.
We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.
In this paper the double-sided Talor's approximations are used to obtain generalisations and improvements of some trigonometric inequalities.
This is an informal paper presenting historical results around the recent paper of the author about Lang's Conjecture and torsion of elliptic curves. This paper also discusses a few aspects of the proof.
This article is the second part in the series of articles where we are developing theory of valuations on manifolds. Roughly speaking valuations could be thought as finitely additive measures on a class of nice subsets of a manifold which…
Some inequalities for different types of convexity are established.
This is an introduction to some of the most probabilistic aspects of free probability theory.
This paper deals with the existence of solutions for an elliptic system of partial differential equations. The solution method is based on the sub- and super-solutions approach. An application to a stochastic control problem is presented.…
The Lie algebras over the algebra of dual numbers are introduced and investigated.
We establish the various properties as well as diverse relations of the ascent and descent spectra for bounded linear operators. We specially focus on the theory of subspectrum. Furthermore, we construct a new concept of convergence for…
General structure of the multivariate plain and q-hypergeometric terms and univariate elliptic hypergeometric terms is described. Some explicit examples of the totally elliptic hypergeometric terms leading to multidimensional integrals on…
This is a non-technical survey of a recent theory of valuations on manifolds constructed in math.MG/0503397, math.MG/0503399, math.MG/0509512, math.MG/0511171 and actually a guide to this series of articles. We review also some recent…
We present a survey of some results and questions related to the notion of scalar curvature in the setting of symplectic supermanifolds.
We obtain average results on the Sato-Tate conjecture for elliptic curves for small angles.
We consider heavy-tailed distributions and compare the well-known estimators of the tail index, based on extreme value theory with a comparatively recent estimator based on a different idea.