Spectral and Scattering Theory for Ordinary Differential Equations (eBook, PDF)

Spectral and Scattering Theory for Ordinary Differential Equations (eBook, PDF)

Vol. I: Sturm-Liouville Equations

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This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm-Liouville equations.Sturm-Liouville theory has applications in partial differential equations and mathematical physics. Examples include classical PDEs such as the heat and wave equations. Written by leading experts, this book provides a modern, systematic treatment of the theory. The main topics are the spectral theory and eigenfunction expansions for Sturm-Liouville equations, as well as scattering theory and inverse spectral theory. It is the first book offering a compl...

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