- Series
- Job Candidate Talk
- Time
- Thursday, November 13, 2014 - 1:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Shahaf Nitzan – Kent State University
- Organizer
- Brett Wick
Orthonormal bases (ONB) are used throughout mathematics and its
applications. However, in many settings such bases are not easy to come by.
For example, it is known that even the union of as few as two intervals may
not admit an ONB of exponentials. In cases where there is no ONB, the next
best option is a Riesz basis (i.e. the image of an ONB under a bounded
invertible operator).
In this talk I will discuss the following question: Does every finite union
of rectangles in R^d, with edges parallel to the axes, admit a Riesz basis
of exponentials? In particular, does every finite union of intervals in R
admit such a basis? (This is joint work with Gady Kozma).