The Bellman function technique in harmonic analysis

Authors

Henry Riely, Washington State University

Document Type

Presentation Abstract

Presentation Date

9-10-2018

Abstract

The Bellman function was developed by applied mathematician Richard Bellman in the 1950s for the field of optimization called dynamic programming. Roughly speaking, the idea is to simplify a problem by breaking it into smaller sub-problems in a recursive fashion.

More recently, starting with the work of Donald Burkholder in the 1980s, the Bellman function has found utility in harmonic analysis, providing new proofs of old results, and even giving some new results for which classical proofs do not exist.

In this talk, we will trace the origins of the Bellman function technique, and walk through an example of a Bellman function proof of a simple fact from harmonic analysis.

Additional Details

Monday, September 10, 2018 at 3:00 p.m. in Math 103
Refreshments at 4:00 p.m. in Math Lounge 109

Recommended Citation

Riely, Henry, "The Bellman function technique in harmonic analysis" (2018). Colloquia of the Department of Mathematical Sciences. 555.
https://scholarworks.umt.edu/mathcolloquia/555