國立虎尾科技大學 |

Theory of semigroups and applications

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Theory of semigroups and applications/ by Kalyan B. Sinha, Sachi Srivastava.
作者:	Sinha, Kalyan B.
其他作者:	Srivastava, Sachi.
出版者:	Singapore :Springer Singapore : : 2017.,
面頁冊數:	xii, 169 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Semigroups. -
電子資源:	http://dx.doi.org/10.1007/978-981-10-4864-7
ISBN:	9789811048647

Theory of semigroups and applications
Sinha, Kalyan B.

Theory of semigroups and applications[electronic resource] /by Kalyan B. Sinha, Sachi Srivastava. - Singapore :Springer Singapore :2017. - xii, 169 p. :ill., digital ;24 cm. - Texts and readings in mathematics,742366-8717 ;. - Texts and readings in mathematics ;37-38..

Chapter 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.

The 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.

ISBN: 9789811048647

Standard No.: 10.1007/978-981-10-4864-7doiSubjects--Topical Terms:

527792
Semigroups.

LC Class. No.: QA182

Dewey Class. No.: 512.27

Theory of semigroups and applications
LDR:02721nam a2200313 a 4500 001 923106
003 DE-He213
005 20170712131535.0
006 m d
007 cr nn 008maaau
008 190625s2017 si s 0 eng d
020 $a 9789811048647 $q (electronic bk.)
024 7 $a 10.1007/978-981-10-4864-7 $2 doi
035 $a 978-981-10-4864-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA182
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 512.27 $2 23
090 $a QA182 $b .S617 2017
100 1 $a Sinha, Kalyan B. $3 684950
245 1 0 $a Theory of semigroups and applications $h [electronic resource] / $c by Kalyan B. Sinha, Sachi Srivastava.
260 $a Singapore : $c 2017. $b Springer Singapore : $b Imprint: Springer,
300 $a xii, 169 p. : $b ill., digital ; $c 24 cm.
490 1 $a Texts and readings in mathematics, $x 2366-8717 ; $v 74
505 0 $a Chapter 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.
520 $a The 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.
650 0 $a Semigroups. $3 527792
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Real Functions. $3 672094
650 2 4 $a Ordinary Differential Equations. $3 670854
650 2 4 $a Partial Differential Equations. $3 671119
700 1 $a Srivastava, Sachi. $3 1199165
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Texts and readings in mathematics ; $v 37-38. $3 1052972
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-4864-7
950 $a Mathematics and Statistics (Springer-11649)