Short Courses and Workshop on Spectral Function Theory
Spectral complex analysis was created in the classical works by Carleman and Wiener, and then developed by Beurling, Krein, Levinson and many other prominent analysts of the 20th century. The unifying theme of these works is the complex Fourier transform, which translates various problems of real harmonic analysis into the language of complex analysis. This field, which originally studied problems such as sampling, interpolation and uniqueness in Paley-Wiener spaces, the uncertainty principle, various notions of spectrum of a function and related questions of spectral analysis and synthesis, has been expanding in several directions. A series of mini-courses will provide a perspective of the areas in which the field is developing. This will be continued with a two-day work-shop where some of the latest advances in the area will be presented.