Questo sito utilizza solo cookie tecnici per il corretto funzionamento delle pagine web e per il miglioramento dei servizi.
Se vuoi saperne di più o negare il consenso consulta l'informativa sulla privacy.
Proseguendo la navigazione del sito acconsenti all'uso dei cookie.
Se vuoi saperne di più o negare il consenso consulta l'informativa sulla privacy.
Proseguendo la navigazione del sito acconsenti all'uso dei cookie.
Elenco seminari del ciclo di seminari
“SINGULAR DIFFERENTIAL OPERATORS WITH MEROMORPHIC EIGENFUNCTIONS”
These talks of P.G. Grinevich are based on joint works with S.P. Novikov and R.G. Novikov.
2017
03 ottobre
P.G. Grinevich
nel ciclo di seminari: SINGULAR DIFFERENTIAL OPERATORS WITH MEROMORPHIC EIGENFUNCTIONS
Seminario di analisi matematica
These two talks are based on joint works with S.P. Novikov and R.G. Novikov.
Generically the spectral theory of differential operators with singular
coefficients is badly defined. But following some ideas of soliton theory
we consider a very special subclass of differential operators with
meromoprphic coefficients such that:
1. In dimension 1 we assume that all eigenfunctions at all energy levels are
meromorphic.
2. In dimension 2 we assume that at one energy level we have sufficiently
many locally meromorphic solutions.
We show that the spectral theory for such operators can be naturalyy
defined, but the Hibert spaces of fucntions should be replaces by
pseudo-Hilbert spaces of Potrjagin type.
At the first talk we will focus on the 1-dimensinal case. In particular we
show, that for such periodic operators the Bloch variety is well-defined.
The second part will be dedicated to the 2-dimensional case.
2017
06 ottobre
P.G. Grinevich
nel ciclo di seminari: SINGULAR DIFFERENTIAL OPERATORS WITH MEROMORPHIC EIGENFUNCTIONS
Seminario di analisi matematica
These two talks are based on joint works with S.P. Novikov and R.G. Novikov.
Generically the spectral theory of differential operators with singular
coefficients is badly defined. But following some ideas of soliton theory
we consider a very special subclass of differential operators with
meromoprphic coefficients such that:
1. In dimension 1 we assume that all eigenfunctions at all energy levels are
meromorphic.
2. In dimension 2 we assume that at one energy level we have sufficiently
many locally meromorphic solutions.
We show that the spectral theory for such operators can be naturalyy
defined, but the Hibert spaces of fucntions should be replaces by
pseudo-Hilbert spaces of Potrjagin type.
At the first talk we will focus on the 1-dimensinal case. In particular we
show, that for such periodic operators the Bloch variety is well-defined.
The second part will be dedicated to the 2-dimensional case.