# Jerusalem Mathematics Colloquium

Thursday, 29th June 2006, 4:00 pm

Mathematics Building, Lecture Hall 2

##

Barry Simon

(California Institute of Technology)

"Gems of spectral theory"

** Abstract:**
Spectral theory is the study of the relation between the data defining a
problem (typically the coefficients in a differential or difference
equation) and the spectrum associated to that problem. By gems I mean
necessary and sufficient conditions that set up a bijection between a class
of equation data and a class of spectral data. I'll focus on a collection
of results in the simplest of spectral problems - those defined by
orthogonal polynomials. I'll discuss a class of nonlinear analogs of the
Plancherel theorem that go back to 1920 with results as recent as 2006.

Light refreshments will be served in the faculty lounge at 3:30.

List of talks, 2005-06

Archive of talks