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DTSTART:20250330T030000
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DTSTART:20241027T020000
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BEGIN:VEVENT
DTSTAMP:20260425T092618Z
UID:677e5160c280b409824246@ist.ac.at
DTSTART:20250206T160000
DTEND:20250206T173000
DESCRIPTION:Speaker: František Štampach\nhosted by Robert Seiringer / Bor
 bala Gerhat\nAbstract: We introduce a new theoretical concept for a spectr
 al data defined for two classes of non-self-adjoint operators: Jacobi matr
 ices with complex entries and Schrdinger operators with complex-valued pot
 entials on the half-line. Then we discuss properties of corresponding spec
 tral maps which assign the spectral data to a given operator from the cons
 idered class. In case of Jacobi operators\, we show that the spectral map 
 is bijective in a complete analogy to the classical result on the spectral
  map which assigns the spectral measure to a self-adjoint Jacobi operator.
  In case of Schrdinger operators\, we show that the spectral map is inject
 ive\, i.e. we have a Borg-Marchenko type theorem for the respective invers
 e spectral problem. If time allows\, we also present partial results on th
 e image of the spectral map concerning asymptotic properties of the spectr
 al data. The talk is based on a joint work with A. Pushnitski (King's Coll
 ege London)\; the part on Jacobi operators has been recently published in 
 [1]\, the part on Schrdinger operators is a work in progress.[1] A. Pushni
 tski\, F. Štampach\, An inverse spectral problem for non-self-adjoint Jac
 obi matrices\, Int. Math. Res. Not. 2024 (2024) 6106-6139.
LOCATION:Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101
 )\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:František Štampach: An inverse spectral problem for non-self-adjo
 int Jacobi and Schrödinger operators on the half-line
URL:https://talks-calendar.ista.ac.at/events/5496
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