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Analysis Seminar: Burak Hatinoğlu, Texas A&M

Event Type: 
Burak Hatinoğlu, Texas A&M
Event Date: 
Friday, September 27, 2019 -
4:00pm to 5:00pm

Event Description: 

Title: Mixed Data in Inverse Spectral Problems for the Schr\"{o}dinger Operators

Abstract: We consider the Schr\"{o}dinger 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 the 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 the spectral measure, which is a spectrum, and partial data on another spectrum and the set of point masses of the spectral measure?

Event Contact

Contact Name: Maxim Zinchenko