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1 - 1 of 1 results for: MATH 286: Topics in Differential Geometry

MATH 286: Topics in Differential Geometry

Spectral Theory of Differential Operators: The aim of this lecture is to provide an introduction to unbounded symmetric and selfadjoint operators in Hilbert spaces, with applications to Sturm-Liouville and Schrödinger operators. Among the topics that will be discussed in this lecture are: selfadjoint extensions of symmetric operators and their spectra, semibounded sesquilinear forms and their representations, Friedrichs and Krein-von Neumann extension, spectral theory of Sturm-Liouville operators (regular and singular endpoints, limit circle-limit point classification, Titchmarsh-Weylm-function), spectral theory of Schrödinger operators (Fourier transform, perturbation theory, discrete and essential spectrum) May be repeated for credit. NOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.
Terms: Spr | Units: 3 | Repeatable for credit
Instructors: White, B. (PI)
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