Complex exponential systems in x and 1/x, Fourier interpolation, and the Klein-Gordon equation
Event details
| Date | 07.03.2019 |
| Hour | 15:00 › 16:00 |
| Speaker | Håkan Hedenmalm (the Royal Institute of Technology in Stockholm) |
| Location | |
| Category | Conferences - Seminars |
In Fourier analysis, complex exponential systems are used to describe periodic signals (functions). It was understood relatively recently that if we add a corresponding system in 1/x we may hope to describe all signals, without any periodicity assumption. Moreover, this decomposition turns out to be relatively robust, with formulas analogous to the Fourier coefficients in the periodic case. The two systems, in x and 1/x, may be understood as working with complex exponentials of two variables, connected by the hyperbola xy=1. The hyperbola gives the connection with the Klein-Gordon equation.
Practical information
- Informed public
- Free
Organizer
- Maryna Viazovska
Contact
- Monique Kiener