相关论文: Notes on groups and representations

These informal notes briefly discuss some basic topics in harmonic analysis along the lines of convolutions and Fourier transforms.

These informal notes deal with a number of questions related to sums and integrals in analysis.

These informal notes are concerned with sums and averages in various situations in analysis.

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

These notes briefly discuss basic notions concerning locally compact abelian topological groups and Fourier transforms of functions on them.

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

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 discuss a few basic notions and examples, with emphasis on constructions that may be relevant for analysis on metric spaces.

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.

In this short note we recall the definition of intrinsically harmonic forms, some known results and some open problems.

These notes deal with a few aspects of Lie algebras and Lie groups, including some matters related to exponentiation.

These informal notes deal with some topics related to analysis on metric spaces.

These informal notes briefly discuss various aspects of Cantor sets.

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…

In this paper we review some connections between harmonic analysis and the modern theory of automorphic forms. We indicate in some examples how the study of problems of harmonic analysis brings us to the important objects of the theory of…

These notes are concerned with harmonic and holomorphic functions on Euclidean spaces, using quaternions and Clifford algebras in higher dimensions. The main themes are weak solutions, the mean-value property, and subharmonicity.

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

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.

These informal notes deal with p-adic versions of Heisenberg groups and related matters.

These notes, connected to a "potpourri" topics class currently underway, discuss some basic topics in analysis and connections with other areas of mathematics.