Related papers: An index theorem for gerbes

We prove a generalization of Lopes's theorem, that is, of the converse of Brolin's theorem.

In this note, we establish some new results on some special types of function algebras and also give new proofs to some existing ones

We introduce a class of group-like objects and prove that Cayley Theorem on groups has a counterpart in the class of group-like objects.

In this note some properties of the sum of element orders of a finite abelian group are studied.

In this paper we introduce the notion of existentially closed Leibniz algebras. Then we use HNN-extensions of Leibniz algebras in order to prove an embedding theorem.

This paper contains a stronger version of a final identification theorem for the `generic' groups of finite Morley rank.

In this paper has been proved the pluripolarity of graphs of algebroid functions

We give some extensions of Mercer's theorem to continuous Carleman kernels inducing unbounded integral operators.

The paper presents a counterexample to the Hodge conjecture.

We give an exposition of the Morse Index Theorem in the Riemannian case in terms of the Maslov index, following and expanding upon Arnold's seminal paper. We emphasize the symplectic arguments in the proof and aim to be as self-contained as…

We revisit the cohomological index theorem for elliptic elements in the universal enveloping algebra of a Lie groupoid previously proved by the authors. We prove a Thom isomorphism for Lie algebroids which enables us to rewrite the…

In this article, we prove a decomposition theorem on differential polynomials of theta functions of high level.

We present a unitary approach to the construction of representations and intertwining operators. We apply it to the $C^*$-algebras, groups, Gabor type unitary systems and wavelets. We give an application of our method to the theory of…

A new approach to disintegration of measures is presented, allowing one to drop the usually taken separability assumption. The main tool is a result on fibers in the spectrum of algebra of essentially bounded functions established recently…

In these notes we give an Alperin's Fusion Theorem for localities.

We establish a Liouville type theorem for some conformally invariant fully nonlinear equations

This paper contains a new elementary proof of the Fundamental Theorem of Calculus for the Lebesgue integral. The hardest part of our proof simply concerns the convergence in ${\rm L}^1$ of a certain sequence of step functions, and we prove…

In this paper, we will give some estimation for the average error of the prime number theorem.

In this expository note we give proof of the Weierstrass gap theorem in Cohomology terminology. We analyze gap sequence for finding possible gaps and non-gaps on X.

In this paper we prove an existence theorem concerning linear forms of a given Diophantine type and apply it to study the structure of the spectrum of lattice exponents.