TY  - GEN
AU  - Sinha, Kalyan B.
AU  - Srivastava, Sachi
TI  - Theory of semigroups and applications
SN  - 9789386279637
U1  - 512.27 
PY  - 2017///
CY  - New Delhi
PB  - Hindustan Book Agency
KW  - Semigroups
KW  - Mathematics
KW  - Differential equations
KW  - Differential equations, Partial
KW  - Functional analysis
KW  - Text and Readings in Mathematics 74
N1  - Includes references and bibliography
N2  - 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
ER  -