LEADER 04204nam 22006495 450 001 9910254275303321 005 20200704231103.0 010 $a981-10-4864-9 024 7 $a10.1007/978-981-10-4864-7 035 $a(CKB)4340000000062072 035 $a(DE-He213)978-981-10-4864-7 035 $a(MiAaPQ)EBC6311581 035 $a(MiAaPQ)EBC5576555 035 $a(Au-PeEL)EBL5576555 035 $a(OCoLC)994210321 035 $a(PPN)203672321 035 $a(EXLCZ)994340000000062072 100 $a20170712d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTheory of Semigroups and Applications /$fby Kalyan B. Sinha, Sachi Srivastava 205 $a1st ed. 2017. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2017. 215 $a1 online resource (XII, 169 p. 1 illus.) 225 1 $aTexts and Readings in Mathematics,$x2366-8717 ;$v74 327 $aChapter 1. Vector-valued functions -- Chapter 2. C0-semigroups -- Chapter 3. Dissipative operators and holomorphic semigroups -- Chapter 4. Perturbation and convergence of semigroups -- Chapter 5. Chernoff?s Theorem and its applications -- Chapter 6. Markov semigroups -- Chapter 7. Applications to partial differential equations -- Appendix A1. Unbounded operators -- Appendix A2. Fourier transforms -- Appendix A3. Sobolev spaces. 330 $aThe book presents major topics in semigroups, such as operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics, and applications. Along with a systematic development of the subject, the book emphasises on the explorations of the contact areas and interfaces, supported by the presentations of explicit computations, wherever feasible. Designed into seven chapters and three appendixes, the book targets to the graduate and senior undergraduate students of mathematics, as well as researchers in the respective areas. The book envisages the pre-requisites of a good understanding of real analysis with elements of the theory of measures and integration, and a first course in functional analysis and in the theory of operators. Chapters 4 through 6 contain advanced topics, which have many interesting applications such as the Feynman?Kac formula, the central limit theorem and the construction of Markov semigroups. Many examples have been given in each chapter, partly to initiate and motivate the theory developed and partly to underscore the applications. The choice of topics in this vastly developed book is a difficult one, and the authors have made an effort to stay closer to applications instead of bringing in too many abstract concepts. 410 0$aTexts and Readings in Mathematics,$x2366-8717 ;$v74 606 $aFunctional analysis 606 $aFunctions of real variables 606 $aDifferential equations 606 $aPartial differential equations 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 615 0$aFunctional analysis. 615 0$aFunctions of real variables. 615 0$aDifferential equations. 615 0$aPartial differential equations. 615 14$aFunctional Analysis. 615 24$aReal Functions. 615 24$aOrdinary Differential Equations. 615 24$aPartial Differential Equations. 676 $a515.7 700 $aSinha$b Kalyan B$4aut$4http://id.loc.gov/vocabulary/relators/aut$044324 702 $aSrivastava$b Sachi$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254275303321 996 $aTheory of Semigroups and Applications$92182293 997 $aUNINA