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Título del libro: Operator Theory
Título del capítulo: De branges spaces and krein's theory of entire operators

Autores UNAM:
LUIS OCTAVIO SILVA PEREYRA;
Autores externos:

Idioma:
Inglés
Año de publicación:
2015
Resumen:

This work presents a contemporary treatment of Kre?in's entire operators with deficiency indices (1, 1) and de Branges' Hilbert spaces of entire functions. Each of these theories played a central role in the research of both renown mathematicians. Remarkably, entire operators and de Branges spaces are intimately connected and the interplay between them has had an impact in both spectral theory and the theory of functions. This work exhibits the interrelation between Kre?in's and de Branges' theories by means of a functional model and discusses recent developments, giving illustrations of the main objects and applications to the spectral theory of difference and differential operators. © Springer Basel 2015. All rights are reserved.


Entidades citadas de la UNAM: