000			02155 a2200277 4500
003			OSt
005			20250127125059.0
008			250120b xxu||||| |||| 00| 0 eng d
020			_a9783030590871
040			_cIIT Kanpur
041			_aeng
082			_a515.7222 _bB439s
100			_aBennewitz, Christer
245			_aSpectral and scattering theory for ordinary differential equations [Vol.1] _bSturm-Liouville equations _cChrister Bennewitz, Malcolm Brown and Rudi Weikard
260			_bSpringer _c2020 _aSwitzerland
300			_aix, 379p
440			_aUniversitext
490			_a / edited by Sheldon Axler ...[et al.]
520			_a 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.
650			_aFunctions, Special
650			_aMathematical analysis
650			_aOperator theory
700			_aBrown, Malcolm
700			_aWeikard, Rudi
942			_cBK
999			_c567331 _d567331