On the independence of complex exponentials

Series
Analysis Seminar
Time
Thursday, January 28, 2010 - 1:00pm for 1 hour (actually 50 minutes)
Location
Skiles 255
Speaker
Mishko Mitkovski – Texas A&M
Organizer
Michael Lacey
Given a set of complex exponential e^{i \lambda_n x} how large do you have to take r so that the sequence is independent in L^2[-r,r] ? The answer is given in terms of the Beurling-Mallivan density.