On the inverse spectral theory of Schrödinger and Dirac operators

Miklós Horváth

Type: Article

Publication Date: 2001-05-17

Citations: 80

DOI: https://doi.org/10.1090/s0002-9947-01-02765-9

Abstract

We prove that under some conditions finitely many partially known spectra and partial information on the potential entirely determine the potential. This extends former results of Hochstadt, Lieberman, Gesztesy, Simon and others.

Locations

Transactions of the American Mathematical Society - View - PDF

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Works Cited by This (9)

Action	Title	Year	Authors
+ PDF Chat	Sturm–liouville and dirac operators	1992	Levitan I. Sargsjan
+	On the determination of a potential from three spectra	1999	Fritz Gesztesy Barry Simon
+ PDF Chat	Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum	1999	Fritz Gesztesy Barry Simon
+	None	1997	Rafael del-Rio Fritz Gesztesy Barry Simon
+	An Inverse Sturm–Liouville Problem with Mixed Given Data	1978	Harry Hochstadt Burton Lieberman
+	Inverse spectral problems for weighted Dirac systems	1999	Bruce A. Watson
+	Distribution of Zeros of Entire Functions	1964	Б. В. Левин
+	None	1999	Rafael del Río Fritz Gesztesy Barry Simon
+	Sturm—Liouville and Dirac Operators	1991	B. M. Levitan I. S. Sargsjan