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Selfadjoint extensions of the multiplication operator in de Branges spaces as singular rank-one perturbations. (arXiv:1706.09400v1 [math.FA])

来源于:arXiv
We derive a description of the family of canonical selfadjoint extensions of the operator of multiplication in a de Branges space in terms of singular rank-one perturbations using distinguished elements from the set of functions associated with a de Branges space. The scale of rigged Hilbert spaces associated with this construction is also studied from the viewpoint of de Branges spaces. 查看全文>>