Theory of semigroups and applications

By:

Sinha, Kalyan B

Contributor(s):

Srivastava, Sachi [Co-author]

Series: Text and Readings in MathematicsPublication details: Hindustan Book Agency, 2017 New Delhi:Description: x, 167p. ; hb. ; 25cmISBN:

9789386279637

Subject(s):

DDC classification:

512.27 SIN

Summary: 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

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.27 SIN (Browse shelf(Opens below))	1	Available		030687

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Previous	512.24 KRI Commutative algebra	512.24 KRI Commutative algebra	512.24 LAU Cohomology of drinfeld modular varieties. Part 2, Automorphic forms, trace formulas, and langlands correspondence	512.27 SIN Theory of semigroups and applications	512.3 ADA Introduction to field theory	512.3 BOR Galois theories	512.3 POS Foundations of Galois theory	Next

Includes references and bibliography

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

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