This is an arXiv category tag: it contains classical analysis (real analysis and harmonic analysis of Euclidean spaces), and ordinary differential equations as subjects.

This is an arXiv category tag: it contains classical analysis (real analysis and harmonic analysis of Euclidean spaces), and ordinary differential equations as subjects.

Since I am preparing to teach intro real analysis this fall, it is a good time for me to get reacquainted with Riemann integration and …

This short post aims at proving a general version of the Moore-Osgood Theorem on interchanging of limits.
Theorem …

L. Craig Evans is a professor at UC Berkeley. For many students he is best known for his textbook on partial differential equations. I …

When does a polynomial with real coefficients have only real roots? Here's one way to determine it.

Some introductory notes about the definition and geometry of Lie groups, and their analysis.

Preliminaries Here's something I learned from Chongchun Zeng of Georgia Tech, while chatting over some hors-d'oeuvres at the AMS …

Some non-intuitive facts about periodic functions

A proof of a generalized form of Young's inequality is given without the need of interpolation theory.

A proof is given of Joris' theorem, which states that if two coprime powers of a function are both smooth, then so is the original …