相关论文: Potpourri, 11

These informal notes deal with Fourier series in one or more variables, Fourier transforms in one variable, and related matters.

These informal notes are concerned with spaces of functions in various situations, including continuous functions on topological spaces, holomorphic functions of one or more complex variables, and so on.

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.

This paper is concerned with analysis on metric spaces in a variety of settings and with several kinds of structure.

These informal notes were prepared in connection with a lecture at a high school mathematics tournament, and provide an overview of some examples of metric spaces and a few of their basic properties.

This short survey has been prepared in connection with the workshop on discrete metric spaces and their applications at Princeton, August, 2003, and tries to convey some of the ways that one might look at functions on metric spaces in…

These notes give an elementary approach to parts of the theory of standard Borel and analytic spaces.

The first section of this modest survey reviews some basic notions and describes some families of examples, and the second section briefly indicates some general aspects of analysis on metric spaces. The remaining three sections are…

A number of topics involving metrics and measures are discussed, including some of the special structure associated with ultrametrics.

This is a brief survey which reviews some traditional themes in harmonic analysis and some more recent areas of activity, connected to "analysis on fractals" in particular.

These informal notes briefly discuss various aspects of Cantor sets.

In this brief survey we give an introduction to some aspects of "atoms" on metric spaces and their connection with linear operators.

The special case of closed subsets of C^n is briefly discussed.

This is an informal set of lecture notes on moduli spaces of curves based on a set of lectures given at the ICTP last summer. It begins at an elementary level and discusses the genus 1 case in detail. The notes then give an informal…

These informal notes consider Fourier transforms on a simple class of nice functions and some basic properties of the Fourier transform.

Informal seminar notes explaining the ideas in math.DS/0411344 and math.DS/0411345.

The note complements topological aspects of the theory of chiral algebras.

The setting of metric spaces is very natural for numerous questions concerning manifolds, norms, and fractal sets, and a few of the main ingredients are surveyed here.

This note is a survey of $J$-spaces.

A number of topics in analysis are discussed, with emphasis on basic principles. There is some overlap with "Elements of linear and real analysis" (arXiv:math/0108030), with numerous changes in content and presentation since then.