Week of November 16 - November 20, 2009
Monday, November 16, 2009
2:30 PM Analysis Seminar 459 MSC
Melanie Henthorn, BGSU
A Nonsynthetic operator on HCC, Part I
Tuesday, November 17, 2009
3:45 PM No Faculty Meeting
Wednesday, November 18, 2009
11:30 AM Statistics Seminar 459 MSC
Yinna Wang, BGSU
Testing the Equivalence of Generalized Variances in
Multivariate Bioequivalence
3:30 PM Algebra Seminar
Warren McGovern, BGSU
Title Clean unital I-groups, II
3:30 PM Education Seminar 226 MSC
Cheryl Grant, BGSU
Teaching the concept of Inverse Functions
Thursday, November 19, 2009
3:30 PM Graduate Student Seminar 459 MSC
TBA
4:00 PM Advisory Committee Meeting 400 MSC
Friday, November 20, 2009
12:30 PM Graduate Committee 400 MSC
3:30 PM COLLOQUIUM 459 MSC
Dr. Xiaoping Sheng, Ohio University
The Solution of Energy Concentration Problem and
Associated Wavelet Systems
In the context of harmonic analysis, the uncertainty
principle implies that a nonzero signal cannot possess
finite duration in time domain and finite bandwidth in
frequency domain simultaneously. However, among all
possible functions with a given finite bandwidth, one can
ask which function maximizes the energy over the
prescribed time interval. Prolate spheroidal wave
functions (PSWFs) are special functions that lead to the
optimal solutions of this energy concentration problem. In
this talk, we will recall the energy concentration problem
and then focus on the construction of wavelet-like systems
associated with PSWFs. The new system retains not only
multiscale structure of wavelets but also preserve the
high energy concentration property inherited from PSWFs.
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