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Spectral and Scattering Theory for Ordinary Differential Equations: Vol. I: Sturm Liouville Equations (Universitext) free ebook download

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Author(s):	Christer Bennewitz

Date:	2024	Format:	rar	Language:	English	ISBN/ASIN:	3030590879
Pages:	392	OCR:		Quality:		ISBN13:
Uploader:	topron	Upload Date:	3/24/2024 8:05:11 AM

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3030590879 rar
This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on SturmLiouville equations.
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 left-definite theory for SturmLiouville 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 CamassaHolm equation, as well as bibliographical notes, make the book a valuable reference for experts.
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Tags: Differential Equations Equations Liouville Ordinary Scattering Spectral Sturm Theory Vol.

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Spectral and Scattering Theory for Ordinary Differential Equations: Vol. I: Sturm Liouville Equations (Universitext) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics