math.CA

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

Apologies if this post is shoddily written; I mainly just wanted to record an explicit counterexample before I forget it, and this post …
Last updated on 4 min read Mathematical diversions

Embedding theorems for Weighted Sobolev Spaces
Last updated on 8 min read Expository

This post concerns the second mean value theorem for definite integrals. Theorem    [Second MVT for Integrals] Let $w$ be a …
Last updated on 4 min read expository

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 …
Last updated on 8 min read expository

This short post aims at proving a general version of the Moore-Osgood Theorem on interchanging of limits. Theorem   …
Last updated on 2 min read expository

L. Craig Evans is a professor at UC Berkeley. For many students he is best known for his textbook on partial differential equations. I …
Last updated on 10 min read notes from talks

When does a polynomial with real coefficients have only real roots? Here's one way to determine it.
Last updated on 4 min read expository

A follow up to my previous post on Young's inequality.
Last updated on 10 min read expository

Some introductory notes about the definition and geometry of Lie groups, and their analysis.
Last updated on 19 min read expository

Preliminaries Here's something I learned from Chongchun Zeng of Georgia Tech, while chatting over some hors-d'oeuvres at the AMS …
Last updated on 6 min read expository