Authors  
Publisher  Springer, Berlin 
Year  
Pages  375 
Version  paperback 
Language  English 
ISBN  9783030590871 
Categories  Calculus & mathematical analysis 
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SturmLiouville 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 SturmLiouville equations, as well as scattering theory and inverse spectral theory. It is the first book offering a complete account of the leftdefinite theory for SturmLiouville equations.
The modest prerequisites for this book are basic onevariable real analysis, linear algebra, as well as an introductory course in complex analysis. More advanced background required in some parts of the book is completely covered in the appendices. With exercises in each chapter, the book is suitable for advanced undergraduate and graduate courses, either as an introduction to spectral theory in Hilbert space, or to the spectral theory of ordinary differential equations. Advanced topics such as the leftdefinite theory and the CamassaHolm equation, as well as bibliographical notes, make the book a valuable reference for experts.
Spectral and Scattering Theory for Ordinary Differential Equations: Vol. I: SturmLiouville Equations