01596oam 2200397 450 991071711640332120220216112005.0(CKB)5470000002529056(OCoLC)1296957449(EXLCZ)99547000000252905620220216d2022 ua 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierImproving security, trade, and travel at land ports of entry at the southwest border hearing before the Subcommittee on Government Operations and Border Management of the Committee on Homeland Security and Governmental Affairs, United States Senate, One Hundred Seventeenth Congress, first session, June 16, 2021Washington :U.S. Government Publishing Office,2022.1 online resource (iii, 67 pages)S. hrg. ;117-35Includes bibliographical references.Improving security, trade, and travel at land ports of entry at the southwest border TourismMexican-American Border RegionBorder securityMexican-American Border RegionUnited StatesCommerceMexicoMexicoCommerceUnited StatesLegislative hearings.lcgftTourismBorder securityGPOGPOGPOBOOK9910717116403321Improving security, trade, and travel at land ports of entry at the southwest border3537446UNINA03952nam 22006975 450 991048333760332120251113200149.03-030-59088-710.1007/978-3-030-59088-8(CKB)4100000011528502(MiAaPQ)EBC6380792(DE-He213)978-3-030-59088-8(MiAaPQ)EBC6647514(Au-PeEL)EBL6380792(OCoLC)1225353737(Au-PeEL)EBL6647514(PPN)254975658(EXLCZ)99410000001152850220201027d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierSpectral and Scattering Theory for Ordinary Differential Equations Vol. I: Sturm–Liouville Equations /by Christer Bennewitz, Malcolm Brown, Rudi Weikard1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (IX, 379 p.) Universitext,2191-66753-030-59087-9 Includes bibliographical references and index.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 Camassa–Holm equation -- References -- Symbol Index -- Subject Index.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.Universitext,2191-6675Mathematical analysisOperator theorySpecial functionsMathematical physicsAnalysisOperator TheorySpecial FunctionsMathematical PhysicsMathematical analysis.Operator theory.Special functions.Mathematical physics.Analysis.Operator Theory.Special Functions.Mathematical Physics.515.352Bennewitz Christer1943-59796Weikard Rudi1958-Brown MalcolmMiAaPQMiAaPQMiAaPQBOOK9910483337603321Spectral and Scattering Theory for Ordinary Differential Equations1889267UNINA