Artículo
Singular Schrödinger operators as self-adjoint extensions of N-entire operators
Fecha de publicación:
05/2015
Editorial:
American Mathematical Society
Revista:
Proceedings of the American Mathematical Society
ISSN:
0002-9939
e-ISSN:
1088-6826
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
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.
Palabras clave:
De Branges Spaces
,
Dinger Operators
,
Kodaira Theory
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Colecciones
Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Citación
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
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