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.