|
|
|
|
| LEADER |
00000cam a2200000 i 4500 |
| 001 |
on1225353737 |
| 003 |
OCoLC |
| 005 |
20240623213015.0 |
| 006 |
m o d |
| 007 |
cr cnu|||unuuu |
| 008 |
201204s2020 sz o 000 0 eng d |
| 040 |
|
|
|a N$T
|b eng
|e rda
|e pn
|c N$T
|d N$T
|d OCLCO
|d OCLCF
|d GW5XE
|d EBLCP
|d YDX
|d ESU
|d UKAHL
|d DCT
|d S2H
|d OCLCQ
|d OCLCO
|d COM
|d OCLCQ
|d OCLCO
|d S9M
|d OCLCL
|
| 019 |
|
|
|a 1202305536
|a 1204138538
|a 1225893380
|
| 020 |
|
|
|a 9783030590888
|q (electronic bk.)
|
| 020 |
|
|
|a 3030590887
|q (electronic bk.)
|
| 020 |
|
|
|z 9783030590871
|
| 020 |
|
|
|z 3030590879
|
| 024 |
7 |
|
|a 10.1007/978-3-030-59088-8
|2 doi
|
| 035 |
|
|
|a (OCoLC)1225353737
|z (OCoLC)1202305536
|z (OCoLC)1204138538
|z (OCoLC)1225893380
|
| 037 |
|
|
|b Springer
|
| 050 |
|
4 |
|a QA300
|
| 072 |
|
7 |
|a PBK
|2 bicssc
|
| 072 |
|
7 |
|a MAT034000
|2 bisacsh
|
| 072 |
|
7 |
|a PBK
|2 thema
|
| 049 |
|
|
|a HCDD
|
| 100 |
1 |
|
|a Bennewitz, Christer,
|d 1943-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjtrXdpxp8fRH3KkwpWg4y
|
| 245 |
1 |
0 |
|a Spectral and scattering theory for ordinary differential equations.
|n Vol. I,
|p Sturm--Liouville equations /
|c Christer Bennewitz, Malcolm Brown, Rudi Weikard.
|
| 246 |
3 |
0 |
|a Sturm--Liouville equations
|
| 264 |
|
1 |
|a Cham, Switzerland :
|b Springer,
|c 2020.
|
| 300 |
|
|
|a 1 online resource
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 347 |
|
|
|a text file
|
| 347 |
|
|
|b PDF
|
| 490 |
1 |
|
|a Universitext
|
| 588 |
0 |
|
|a Online resource; title from PDF title page (EBSCO, viewed December 7, 2020).
|
| 505 |
0 |
|
|a 1 Introduction -- 2 Hilbert space -- 3 Abstract spectral theory -- 4 Sturm-Liouville equations -- 5 Left-definite Sturm-Liouville equations -- 6 Oscillation, spectral asymptotics and special functions -- 7 Uniqueness of the inverse problem -- 8 Scattering -- A Functional analysis -- B Stieltjes integrals -- C Schwartz distributions -- D Ordinary differential equations -- E Analytic functions -- F The Camasss-olm equation -- References -- Symbol Index -- Subject Index.
|
| 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 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 left-definite theory and the Camassa-Holm equation, as well as bibliographical notes, make the book a valuable reference for experts.
|
| 650 |
|
0 |
|a Mathematical analysis.
|
| 650 |
|
0 |
|a Calculus.
|
| 650 |
|
0 |
|a Operator theory.
|
| 650 |
|
0 |
|a Functions, Special.
|
| 650 |
|
0 |
|a Mathematical physics.
|
| 650 |
|
7 |
|a calculus.
|2 aat
|
| 650 |
|
7 |
|a Teoría de operadores
|2 embne
|
| 650 |
|
7 |
|a Física matemática
|2 embne
|
| 650 |
|
7 |
|a Calculus
|2 fast
|
| 650 |
|
7 |
|a Functions, Special
|2 fast
|
| 650 |
|
7 |
|a Mathematical analysis
|2 fast
|
| 650 |
|
7 |
|a Mathematical physics
|2 fast
|
| 650 |
|
7 |
|a Operator theory
|2 fast
|
| 700 |
1 |
|
|a Brown, Malcolm,
|e author.
|
| 700 |
1 |
|
|a Weikard, Rudi,
|d 1958-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjDpC4Wrvp4qtpPdTdHYMX
|
| 758 |
|
|
|i has work:
|a Spectral and scattering theory for ordinary differential equations (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCFxrpq8gMdywFDDTwd9x6q
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Bennewitz, Christer.
|t Spectral and Scattering Theory for Ordinary Differential Equations : Vol. I: Sturm-Liouville Equations.
|d Cham : Springer International Publishing AG, ©2020
|z 9783030590871
|
| 830 |
|
0 |
|a Universitext.
|
| 856 |
4 |
0 |
|u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-3-030-59088-8
|y Click for online access
|
| 903 |
|
|
|a SPRING-MATH2020
|
| 994 |
|
|
|a 92
|b HCD
|