- 01-329 Christian Remling
- Schr\"odinger operators and de Branges spaces
(170K, LaTeX)
Sep 18, 01
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Abstract. The general direct and inverse spectral theory of one-dimensional
Schr\"odinger operators is discussed from the point of view of de Branges's
theory of Hilbert spaces of entire functions. The emphasis is definitely
on the inverse problem, but I also found de Branges's interpretation of
the spectral representation (discussed in Section 3 of the paper) quite
entertaining.
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