# Theory of Semigroups and Applications

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*Kalyan B. Sinha; Sachi Srivastava*

A publication of Hindustan Book Agency

This book combines the spirit of a textbook with that of a
monograph on the topic of semigroups and their applications. It is
expected to have potential readers across a broad spectrum that includes
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. Chapters 4–6 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 interested readers can solve
these while learning that topic.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

#### Readership

Graduate students and research mathematicians interested in semigroups.