- Tytuł:
- Weyl-Titchmarsh type formula for Hermite operator with small perturbation
- Autorzy:
- Simonov, S.
- Powiązania:
- https://bibliotekanauki.pl/articles/255278.pdf
- Data publikacji:
- 2009
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Jacobi matrices
absolutely continuous spectrum
subordinacy theory
Weyl-Titchmarsh theory - Opis:
- Small perturbations of the Jacobi matrix with weights √n and zero diagonal are considered. A formula relating the asymptotics of polynomials of the first kind to the spectral density is obtained, which is an analogue of the classical Weyl-Titchmarsh formula for the Schr ödinger operator on the half-line with summable potential. Additionally, a base of generalized eigenvectors for "free" Hermite operator is studied and asymptotics of Plancherel-Rotach type are obtained.
- Źródło:
-
Opuscula Mathematica; 2009, 29, 2; 187-207
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł