Those Kissing Cousins, Polynomials and Entire Functions of Exponential Type

Research Horizons Seminar
Wednesday, September 17, 2014 - 12:00
1 hour (actually 50 minutes)
Skiles 005
Georgia Tech Math Department
There is a long standing asymptotic relationship in several areas of analysis, between polynomials and entire functions of exponential type. Many extremal problems for polynomials of degree n turn into analogous extremal problems for entire functions of exponential type, as the degree n approaches infinity. We discuss some of the old such as Bernstein's constant on approximation of |x|, and recent work on Plancherel-Polya and Nikolskii inequalities.