LEADER 03768nam 2200457 450 001 996418255303316 005 20210225091549.0 010 $a981-15-8199-1 024 7 $a10.1007/978-981-15-8199-1 035 $a(CKB)4100000011469543 035 $a(MiAaPQ)EBC6357794 035 $a(DE-He213)978-981-15-8199-1 035 $a(PPN)250219085 035 $a(EXLCZ)994100000011469543 100 $a20210225d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInverse spectral and scattering theory $ean introduction /$fHiroshi Isozaki 205 $a1st ed. 2020. 210 1$aGateway East, Singapore :$cSpringer,$d[2020] 210 4$d©2020 215 $a1 online resource (XII, 130 p. 2 illus.) 225 1 $aSpringerBriefs in mathematical physics ;$vVolume 38 311 $a981-15-8198-3 327 $aChapter 1: One-dimensional inverse problems -- Chapter 2: Multi-dimensional inverse boundary value problems -- Chapter 3: Multi-dimensional Gel?fand-Levitan theory -- Chapter 4: Boundary control method -- Chapter 5: Other topics -- Index. 330 $aThe aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science. These practical problems boil down to the mathematical question in which one tries to recover the operator (coefficients) or the domain (manifolds) from spectral data. The characteristic properties of the operators in question are often reduced to those of Schrödinger operators. We start from the 1-dimensional theory to observe the main features of inverse spectral problems and then proceed to multi-dimensions. The first milestone is the Borg?Levinson theorem in the inverse Dirichlet problem in a bounded domain elucidating basic motivation of the inverse problem as well as the difference between 1-dimension and multi-dimension. The main theme is the inverse scattering, in which the spectral data is Heisenberg?s S-matrix defined through the observation of the asymptotic behavior at infinity of solutions. Significant progress has been made in the past 30 years by using the Faddeev?Green function or the complex geometrical optics solution by Sylvester and Uhlmann, which made it possible to reconstruct the potential from the S-matrix of one fixed energy. One can also prove the equivalence of the knowledge of S-matrix and that of the Dirichlet-to-Neumann map for boundary value problems in bounded domains. We apply this idea also to the Dirac equation, the Maxwell equation, and discrete Schrödinger operators on perturbed lattices. Our final topic is the boundary control method introduced by Belishev and Kurylev, which is for the moment the only systematic method for the reconstruction of the Riemannian metric from the boundary observation, which we apply to the inverse scattering on non-compact manifolds. We stress that this book focuses on the lucid exposition of these problems and mathematical backgrounds by explaining the basic knowledge of functional analysis and spectral theory, omitting the technical details in order to make the book accessible to graduate students as an introduction to partial differential equations (PDEs) and functional analysis. . 410 0$aSpringerBriefs in mathematical physics ;$vVolume 38. 606 $aSpectral theory (Mathematics) 615 0$aSpectral theory (Mathematics) 676 $a515.7222 700 $aIsozaki$b Hiroji$f1950-$0283875 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418255303316 996 $aInverse spectral and scattering theory$92185777 997 $aUNISA LEADER 03565nam 22006012 450 001 9910136605903321 005 20161103110727.0 010 $a1-316-86695-5 010 $a1-316-86803-6 010 $a1-316-86821-4 010 $a1-316-61737-8 010 $a1-316-69449-6 010 $a1-316-86839-7 010 $a1-316-86911-3 010 $a1-316-86857-5 035 $a(CKB)3710000000894291 035 $a(EBL)4697959 035 $a(UkCbUP)CR9781316694497 035 $a(MiAaPQ)EBC4697959 035 $a(EXLCZ)993710000000894291 100 $a20160128d2016|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIncentivized development in China $eleaders, governance, and growth in China's counties /$fDavid J. Bulman$b[electronic resource] 210 1$aNew York :$cCambridge University Press,$d2016. 215 $a1 online resource (xiii, 270 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 01 Nov 2016). 311 $a1-107-16629-2 311 $a1-316-86893-1 320 $aIncludes bibliographical references and index. 327 $aMachine generated contents note: List of tables; List of figures; Acknowledgements; 1. Introduction; 2. Understanding China's county-level economic growth; 3. Governance for growth: investment attraction and institutional development; 4. First in command: leadership roles for county development; 5. Paths to promotion: the inconsistent importance of economic performance; 6. Ignoring growth: the institutional and economic costs of maintaining stability; 7. Conclusion: a new political economy of uneven regional development; Appendix 1; Appendix 2; Index; Bibliography. 330 $aChina's economy, as a whole, has developed rapidly over the past 35 years, and yet its richest county is over 100 times richer in per capita terms than its poorest county. To explain this vast variation in development, David J. Bulman investigates the political foundations of local economic growth in China, focusing on the institutional and economic roles of county-level leaders and the career incentives that shape their behaviour. Through a close examination of six counties complemented by unique nation-wide data, he presents and explores two related questions: what is the role of County Party Secretaries in determining local governance and growth outcomes? And why do County Party Secretaries emphasize particular developmental priorities? Suitable for scholars of political economy, development economics, and comparative politics, this original study analyzes the relationship between political institutions, local governance, and leadership roles within Chinese government to explain the growing divergence in economic development between counties. 606 $aRegional economics$zChina 606 $aProvincial governments$zChina 606 $aCentral-local government relations$zChina 606 $aEconomic development$zChina 607 $aChina$xEconomic conditions$xRegional disparities 615 0$aRegional economics 615 0$aProvincial governments 615 0$aCentral-local government relations 615 0$aEconomic development 676 $a338.951 686 $aPOL040020$2bisacsh 700 $aBulman$b David Janoff$01074760 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910136605903321 996 $aIncentivized development in China$92581465 997 $aUNINA LEADER 02282nam 2200613 a 450 001 9910779801103321 005 20200520144314.0 010 $a1-61761-474-2 035 $a(CKB)2550000001042500 035 $a(EBL)3020285 035 $a(SSID)ssj0000880505 035 $a(PQKBManifestationID)11456624 035 $a(PQKBTitleCode)TC0000880505 035 $a(PQKBWorkID)10890568 035 $a(PQKB)10657841 035 $a(MiAaPQ)EBC3020285 035 $a(Au-PeEL)EBL3020285 035 $a(CaPaEBR)ebr10676478 035 $a(OCoLC)853575203 035 $a(EXLCZ)992550000001042500 100 $a20090709d2010 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aMarriage and incarceration$b[electronic resource] /$fLeana H. Venten, editor 210 $aNew York $cNova Science Publishers$dc2010 215 $a1 online resource (103 p.) 225 1 $aFamily issues in the 21st century series 300 $a"... overview of the themes that emerged from the [Research and Practice Symposium on Marriage and Incarceration] and recommendations that can aid the direction of these types of programs and of future research"--P. 6. 311 $a1-60692-938-0 320 $aIncludes bibliographical references and index. 327 $aIntroduction / Brandy Bauer ... [et al.] -- Contextualizing the issues / Brandy Bauer ... [et al.] -- The current state of practice / Brandy Bauer ... [et al.] -- What we still need to know / Brandy Bauer ... [et al.] -- Moving forward / Brandy Bauer ... [et al.]. 410 0$aFamily issues in the 21st century series. 606 $aMarried people$vCongresses 606 $aImprisonment$vCongresses 606 $aParent and child$vCongresses 606 $aFamily violence$vCongresses 606 $aMarriage counseling$vCongresses 615 0$aMarried people 615 0$aImprisonment 615 0$aParent and child 615 0$aFamily violence 615 0$aMarriage counseling 676 $a365/.661 701 $aVenten$b Leana H$01545252 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910779801103321 996 $aMarriage and incarceration$93800079 997 $aUNINA