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Spectral and scattering theory for ordinary differential equations [Vol.1] (Record no. 567331)

000 -LEADER
fixed length control field 02155 a2200277 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20250127125059.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 250120b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783030590871
040 ## - CATALOGING SOURCE
Transcribing agency IIT Kanpur
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.7222
Item number B439s
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Bennewitz, Christer
245 ## - TITLE STATEMENT
Title Spectral and scattering theory for ordinary differential equations [Vol.1]
Remainder of title Sturm-Liouville equations
Statement of responsibility, etc Christer Bennewitz, Malcolm Brown and Rudi Weikard
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher Springer
Year of publication 2020
Place of publication Switzerland
300 ## - PHYSICAL DESCRIPTION
Number of Pages ix, 379p
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Universitext
490 ## - SERIES STATEMENT
Series statement / edited by Sheldon Axler ...[et al.]
520 ## - SUMMARY, ETC.
Summary, etc 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 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Functions, Special
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematical analysis
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Operator theory
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Brown, Malcolm
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Weikard, Rudi
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Source of acquisition Cost, normal purchase price Serial Enumeration / chronology Full call number Accession Number Cost, replacement price Koha item type
        General Stacks PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 2025-02-03 60 4422.89 v.1 515.7222 B439s A186662 5897.19 Books

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