Related papers: Potpourri, 3
In this lecture notes we try to familiarize the audience with the theory of Bernoulli polynomials; we study their properties, and we give, with proofs and references, some of the most relevant results related to them. Several applications…
These are some informal notes concerning topological vector spaces, with a brief overview of background material and basic notions, and emphasis on examples related to classical analysis.
The object of this lecture is to propose a series of conjectures and problems in different fields of analysis. They have been formulated with the aim of introducing some innovative methods in the study of classical topics, as open mappings,…
These notes are concerned with Abel sums and connections with analytic extensions of Fourier integrals.
These lecture notes discuss classical models of liquid crystals, and the different ways in which defects are described according to the different models.
We discuss an extension of classical combinatorics theory to the case of spatially distributed objects.
These notes briefly consider convolutions of tempered distributions with functions in the Schwartz class.
The interrelations between various classes of convergence spaces defined by countability conditions are studied. Remarkably, they all find characterizations in the usual space of ultrafilters in terms of classical topological properties.…
We highlight an intrinsic connection between classical quadrature domains and the well-studied theme of removable singularities of analytic sets in several complex variables. Exploiting this connection provides a new framework to recover…
In these notes we briefly consider various situations related to infinite commutative semigroups, connected to convolutions and Fourier transforms.
The note complements topological aspects of the theory of chiral algebras.
These notes provide an introduction to a number of those topics in Classical Mechanics that are useful for field theory.
These notes are concerned with the Schwartz class of rapidly decreasing smooth functions on R^n, Fourier transforms, etc.
These notes give an elementary approach to parts of the theory of standard Borel and analytic spaces.
The notes contain a streamlined account on stability of univariate polynomials and related problems
The purpose of these notes is to collect in one place some facts on the category of finite totally ordered sets and some related categories. More specifically, we collect some results on them which will be useful for the study of iteratedly…
We survey some results that provide different versions of classical results through different summability methods. Specifically, in order to adapt such classical results, we analyze which properties should satisfy the summability methods.…
These informal notes concern some basic themes of harmonic analysis related to representations of groups.
In this Note, we will characterize the Poisson structures compatible with the canonical metric of $\reel^3$. We will also give some relvant examples of such structures. The notion of compatibility used in this Note was introduced and…
We survey the classical results of the Dirichlet Approximation Theorem.