Mitja Nedic: A characterization of Herglotz-Nevanlinna functions using positive semi-definite functions

V torek, 13. decembra ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predavanje

Mitja Nedic: A characterization of Herglotz-Nevanlinna functions using positive semi-definite functions.

Abstract: Herglotz-Nevanlinna functions are holomorphic functions on the poly-upper half-plane having non-negative imaginary part. They are known to admit a powerful integral representation theorem that characterizes this class of functions in terms of a real number, a vector with non-negative entries and a positive Borel measure satisfying two conditions. In this talk, we will present, instead, a representation in terms of a specific type of positive semi-definite functions called Poisson-type functions. This will also allow us to present a multidimensional analogue of the classical Nevanlinna kernel.

Predavanje bo potekalo hibridno, v predavalnici 3.06 na Jadranski 21 in preko aplikacije ZOOM:

https://uni-lj-si.zoom.us/j/94049045946?pwd=T3VxZHMvY3JlaUFlVXYrSlg0Wm5zZz09

Meeting ID: 940 4904 5946 Passcode: 723320

Vljudno vabljeni!

Vodji seminarja

Franc Forstneric in Barbara Drinovec Drnovsek