A minicourse by Barry Simon

 

 

Starting Monday, July 8th, at 14:00, Barry Simon will give three 2-hour lectures on the subject of:

The second and third talks in the minicourse by Barry Simon (see below) will take place on Wednesday, July 17, and on Sunday, July 21, at 14:00, both in room 110.

 


The Uncertainty Principle, Windowed Fourier Transform and all That

 

1. Lots of Transforms and the Uncertainty Principle

2.  Coherent States

3.  Gabor Lattices

Abstract: In these pedagogical lectures, I'll first discuss Hermite Expansions, the Segal Bargmann Transform and the Zak transform.  Next strong forms of the uncertainty principle including Hardy's form, Amrein-Berthier and Slepian-Landau-Pollack.  The next topic is coherent states indexed by groups including windowed Fourier transforms, continuous wavelets and Bloch coherent states.  The final major topic is discrete windowed Fourier transforms.  If time allows, I say a little about discrete wavelets.

 

 

The first talk, as written above, will take place on July 8th at 14:00 in room 110.

Announcements about the time and location of the second and third talk will be sent out at a later time.