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The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra. The same is not true, however, for situations where the spectra are not explicitly known. Over the last several years, the author and his colleagues have developed new,
Elliptic Differential Operators and Spectral Analysis
Spectral Theory
Spectral and Scattering Theory for Second Order Partial Differential Operators
Spectral Theory and its Applications
Guide to Spectral Theory
Elgenfunction Expansions Associated with Second Order Differential Equations
Inverse Spectral Problems for Linear Differential Operators and Their Applications
Spectral Theory and Quantum Mechanics
Spectral Geometry Of The Laplacian: Spectral Analysis And Differential Geometry Of The Laplacian
Spectral Theory Of Noncommuting Operators
Asymptotic Formulae in Spectral Geometry
Spectral Theory and Quantum Mechanics