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Spectral and Scattering Theory for Ordinary Differential Equations: Vol. I: Sturm–Liouville Equations (Universitext Book 1) 1st ed. 2020 Edition, Kindle Edition

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Management number 219449302 Release Date 2026/05/03 List Price $27.65 Model Number 219449302
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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 complete account of the left-definite theory for Sturm–Liouville equations.The modest prerequisites for this book are basic one-variable 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 advancedundergraduate 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 left-definite theory and the Camassa–Holm equation, as well as bibliographical notes, make the book a valuable reference for experts. Read more

XRay Not Enabled
Format Print Replica
ISBN13 978-3030590888
Edition 1st ed. 2020
Language English
File size 8.1 MB
Page Flip Not Enabled
Publisher Springer
Word Wise Not Enabled
Print length 392 pages
Accessibility Learn more
Part of series Universitext
Publication date October 27, 2020
Enhanced typesetting Not Enabled

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