Theory of Semigroups and Applications (Texts and Readings in Mathematics) - Hardcover

Kalyan B. Sinha (author) & Sachi Srivastava (author)

Hardcover

ISBN 10: 9386279630 ISBN 13: 9789386279637

Publisher: Hindustan Book Agency, 2017

Synopsis

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.

About this title

About the Author

Kalyan B. Sinha, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore.

Sachi Srivastava, Department of Mathematics, University of Delhi.

Edition details

• Publisher: Hindustan Book Agency
• Publication date: 2017
• Language: English
• ISBN 10: 9386279630
• ISBN 13: 9789386279637
• Binding: Hardcover
• Number of pages: 180