相关论文: Sums, rearrangements, and norms

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

These informal notes concern some basic themes of harmonic analysis related to representations of groups.

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

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

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

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.

This short note contains elementary evaluations of some Euler sums.

These notes deal with some topics related to limits of norms, functions on the unit circle, and so on.

These notes are concerned with Abel sums and connections with analytic extensions of Fourier integrals.

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

These notes, connected to a "potpourri" topics course currently underway, are concerned with some interrelated themes of polynomials, functions on the unit circle or interval, and norms.

Work in progress concerning alternative formalizations of arithmetic.

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

These notes are connected to a "potpourri" topics class and deal with some special cases of norms of various objects which arise in classical analysis.

In these introductory lectures we discuss classes of presently known nested sums, associated iterated integrals, and special constants which hierarchically appear in the evaluation of massless and massive Feynman diagrams at higher loops.…

These notes, associated with a topics course, deal with some special features of summability and supremum norms which are often useful.

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

There are versions of "calculus" in many settings, with various mixtures of algebra and analysis. In these informal notes we consider a few examples that suggest a lot of interesting questions.

These notes, associated with a topics course, are concerned with some general methods related to norms and linear transformations.

These Notes deal with various areas of mathematics, and seek reciprocal combinations, explore mutual relations, ranging from abstract objects to problems in physics.