Spectral Theory as Influenced by Fritz Gesztesy
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چکیده
We survey a selection of Fritz’s principal contributions to the field of spectral theory and, in particular, to Schrödinger operators.
منابع مشابه
Weyl–titchmarsh Theory for Cmv Operators Associated with Orthogonal Polynomials on the Unit Circle Fritz Gesztesy and Maxim Zinchenko
We provide a detailed treatment of Weyl–Titchmarsh theory for half-lattice and full-lattice CMV operators and discuss their systems of orthonormal Laurent polynomials on the unit circle, spectral functions, variants of Weyl–Titchmarsh functions, and Green’s functions. In particular, we discuss the corresponding spectral representations of half-lattice and full-lattice CMV operators.
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We survey a selection of Fritz’s principal contributions to the field of spectral theory and, in particular, to Schrödinger operators.
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متن کاملA Criterion for Hill Operators to Be Spectral Operators of Scalar Type Fritz Gesztesy and Vadim Tkachenko
We derive necessary and sufficient conditions for a Hill operator (i.e., a one-dimensional periodic Schrödinger operator) H = −d/dx + V to be a spectral operator of scalar type. The conditions show the remarkable fact that the property of a Hill operator being a spectral operator is independent of smoothness (or even analyticity) properties of the potential V . In the course of our analysis we ...
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تاریخ انتشار 2012