Mathematical Physics and Harmonic Analysis Seminar

Date: April 5, 2019

Time: 1:50PM - 2:50PM

Location: BLOC 628

Speaker: Burak Hatinoglu, Texas A&M University

Title: Mixed Data in Inverse Spectral Problems for the Schroedinger Operators

Abstract: In this talk, we consider the Schroedinger operator, Lu = -u''+qu on (0,pi) with a potential q\in L^1(0,\pi). Borg's theorem says that q can be uniquely recovered from two spectra. By Marchenko, q can be uniquely recovered from spectral measure. After recalling some results from inverse spectral theory of one dimensional Schroedinger operators, we will discuss the following problem: Can q be recovered from support of spectral measure, which is a spectrum, and partial data on another spectrum and the set of pointmasses of the spectral measure?