Artículos de revistas
Singular Schrödinger operators as self-adjoint extensions of N-entire operators
Fecha
2015-05Registro en:
Silva, Luis O.; Teschl, Gerald; Toloza, Julio Hugo; Singular Schrödinger operators as self-adjoint extensions of N-entire operators; American Mathematical Society; Proceedings of the American Mathematical Society; 143; 5; 5-2015; 2103-2115
0002-9939
1088-6826
CONICET Digital
CONICET
Autor
Silva, Luis O.
Teschl, Gerald
Toloza, Julio Hugo
Resumen
We investigate the connections between Weyl–Titchmarsh– Kodaira theory for one-dimensional Schrödinger operators and the theory of n-entire operators. As our main result we find a necessary and sufficient condition for a one-dimensional Schrödinger operator to be n-entire in terms of square integrability of derivatives (w.r.t. the spectral parameter) of the Weyl solution. We also show that this is equivalent to the Weyl function being in a generalized Herglotz–Nevanlinna class. As an application we show that perturbed Bessel operators are n-entire, improving the previously known conditions on the perturbation.