Related papers: Several Complex Variables
These informal notes deal with a number of questions related to sums and integrals in analysis.
A vector variational principle is proved.
In this note, we establish some new results on some special types of function algebras and also give new proofs to some existing ones
These are yet another lecture notes on Seiberg-Witten invariants, where no claim of originality is made, they contain a discussion of some related results from the recent literature.
In these notes we provide the foundation for the deformation theoretic parts of arXiv:0807.3753 and arXiv:math/0102005.
We present some informal remarks on aspects of relativistic quantum computing.
These notes, associated with a topics course, deal with some special cases involving norms and linear transformations.
These notes were written for the Cours Peccot given at the Coll\`ege de France in 2007.
Memoir on the Sigma invariants and their applications, version 2
These notes are connected to a "potpourri" topics class and deal with some basic issues involving norms and convexity.
These lecture notes are based on an introductory course given by the author at the summer school "Noncommutative Algebraic Geometry" at MSRI in June 2012. The emphasis throughout is on examples to illustrate the many different facets of…
These informal notes concern some basic themes of harmonic analysis related to representations of groups.
These notes present an approach to obtaining the basic operations of addition and multiplication on the natural numbers in terms of elementary results about commutative monoids.
Lower bounds for some explicit decision problems over the complex numbers are given.
In this article we introduce Variable exponent Fock spaces and study some of their basic properties such as the boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.
The main purpose of this note is to pose a couple of problems which are easily formulated thought some seem to be not yet solved. These problems are of general interest for discrete mathematics including a new twig of a bough of theory of…
New invariants for 2-dimensional cell complexes are defined, which can be interpreted as curvature bounds. These invariants are proved to be rational and computable in a companion article. This document is a survey that collects theorems…
We give a presentation of abelian class field theory.
These notes are a brief introduction to the RSA algorithm and modular arithmetic. They are intended for an undergraduate audience.
In this chapter, a statistical measure of complexity is introduced and some of its properties are discussed. Also, some straightforward applications are shown.