Zusammenfassung für den Vortrag am 07.06.2016 (16:45 Uhr)
Oberseminar ANALYSIS - PROBABILITYMárton Kiss (Technical University Budapest)
Ambarzumian type theorems
Consider the eigenvalue problem
If q = 0 then the eigenvalues are λn = n2π2 (n ≥ 0). What is surprising is that the converse is also true; this is Ambarzumian’s theorem. We discuss some similar statements on graphs and in a PDE setting.