On the independence of complex exponentials

Series: 
Analysis Seminar
Thursday, January 28, 2010 - 13:00
1 hour (actually 50 minutes)
Location: 
Skiles 255
,  
Texas A&M
Organizer: 
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.