|
|
 |
Distinguished Lecturer Series
Sponsored by the Arthur and Rochelle Belfer
Institute of Mathematics and Computer Science
Professor Haim Brezis
University Pierre et Marie Curie
Rutgers University
Technion
will speak on
Can you hear the degree of a map from the circle into itself?
An intriguing story which is not yet finished
Abstract
A few years ago - following a suggestion by I.M. Gelfand - I discovered an
intriguing connection between the topological degree of a map from the circle
into itself and its Fourier coefficients. This relation is easily justified
when the map is smooth. However, the situation turns out to be much more
delicate if one assumes only continuity, or even Holder continuity. I will
present recent developments and open problems. I will also discuss new
estimates for the degree leading to unusual characterizations of Sobolev
spaces.
The lecture will take place in the Lecture Hall, Room 1,
Ziskind Building
on Tuesday, January 23, 2007
at 11:00
|
