Mathematical Physics Seminar

PLEASE NOTE TIME & LOCATION CHANGE

One of the old problems of Fourier analysis, the so-called Gap Problem, studies properties of measures on the real line whose Fourier transform has a gap in its support. Such measures appear in many applications such as prediction theory, signal processing and electrical engineering. In my talk I will discuss recent progress in the Gap Problem and its applications. Among such applications I will present an 'uncertainty version' of the classical two-spectra theorem by Borg for Schroedinger operators on an interval.