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999 _c58585
_d58585
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008 211112b ||||| |||| 00| 0 eng d
020 _a9789386279637
028 _a:Variety Books Publishers & Distributors
_b:B-10 Street No 2 West Vinod Nagar Delhi 110092
_c:IM2892
_d:02/11/2021
082 _a512.27 SIN
100 _aSinha, Kalyan B
245 _a Theory of Semigroups and Applications
_c/ Kalyan B Sinha & Sachi Srivastava
260 _aNew Delhi
_b: Hindustan Book Agency,
_c©2017
300 _ax, 167 pages
_c25 cm.
365 _b375
490 _aTexts and readings in mathematics, 74.
505 _a Table of contents (unedited publisher data) <1 Vector-valued functions -- 2 C0-semigroups -- 3 Dissipative operators and holomorphic semigroups -- 4 Perturbation and convergence of semigroups -- 5 Chernoff's Theorem and its applications -- 6 Markov semigroups -- 7 Applications to partial differential equations>
520 _aPublisher Description (unedited publisher data) This book combines the spirit of a textbook and of a monograph on the topic of Semigroups and their applications. It is expected to have potential users across a broad spectrum including operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics. A reasonable amount of familiarity with real analysis, including the Lebesgue-integration theory, basic functional analysis and bounded linear operators is assumed. However, any discourse on a theory of semigroups needs an introduction to unbounded linear operators, some elements of which have been included in the Appendix, along with the basic ideas of the Fourier transform and of Sobolev spaces. The chapters 4 through 6 contain advanced material, not often found in textbooks, but which have many interesting applications such as the Feynman-Kac formula, the central limit theorem and the construction of Markov semigroups. The exercises are given in the text as the topics are developed, so that the interested reader can be persuaded to solve these as a part of learning that topic.
650 _aMathematics
650 _a Algebra
650 _aSemigroups.
700 _aSinha, Kalyan B.
700 _aSrivastava, Sachi
942 _cMDL