- Series
- Analysis Seminar
- Time
- Wednesday, September 22, 2010 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 269
- Speaker
- Michael Goldberg – University of Cincinnati – michael.goldberg@uc.edu – http://homepages.uc.edu/~goldbeml/index.html
- Organizer
- Manwah Wong
We prove an extension of the Wiener inversion theorem for
convolution of summable series, allowing the terms to take values in a
space of bounded linear operators. The resulting algebra is no longer
commutative due to the composition of operators. Inversion theorems
arise naturally in the context of proving dispersive estimates for the
Schr\"odinger and wave equation and lead to scale-invariant conditions
for the class of admissible potentials.
All results are joint work with Marius Beceanu.