Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615636 | Journal of Mathematical Analysis and Applications | 2015 | 10 Pages |
Abstract
In this work we consider de Branges spaces where the multiplication operator by the independent variable is not densely defined. First, we study the canonical selfadjoint extensions of the multiplication operator as a family of rank-one perturbations from the viewpoint of the theory of de Branges spaces. Then, on the basis of the obtained results, we provide new necessary and sufficient conditions for a real, zero-free function to lie in a de Branges space.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Luis O. Silva, Julio H. Toloza,