The theory of semigroups of operators was initiated by E. Hille in his monograph ``Functional Analysis and Semigroups'' which appeared in 1948. In the years thereafter the theory was developed further by W. Feller, T. Kato, R.S. Phillips, K. Yosida and many others. The possible range of applications
One-Parameter Semigroups
β Scribed by Clement P. H., Heijmans H.J.A.M., Angenent S., van Duijn C.J., de Pagter B.
- Publisher
- Elsevier Science Ltd
- Year
- 1987
- Tongue
- English
- Leaves
- 322
- Series
- Cwi Monographs
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
The theory of semigroups of operators was initiated by E. Hille in his monograph ``Functional Analysis and Semigroups'' which appeared in 1948. In the years thereafter the theory was developed further by W. Feller, T. Kato, R.S. Phillips, K. Yosida and many others. The possible range of applications is enormous and includes problems in mathematical physics, probability theory and control theory. The purpose of this book is to illustrate the richness of the theory of one-parameter semigroups by examining some of its various aspects. It is written in such a way that all three parts can be read more or less independently; it is assumed that the reader is familiar with some of the basic principles of functional analysis.
π SIMILAR VOLUMES
The theory of semigroups of operators was initiated by E. Hille in his monograph ``Functional Analysis and Semigroups'' which appeared in 1948. In the years thereafter the theory was developed further by W. Feller, T. Kato, R.S. Phillips, K. Yosida and many others. The possible range of applications
The book is organized as follows. We concentrate our attention on three subjects of semigroup theory: characterization, spectral theory and asymptotic behavior. By characterization , we understand the problem of describing special properties of a semigroup, such as positivity, through the generator.
The following notes represent a course of lectures delivered at the Australian National University in the second semester of 1982 as part of the mathematics honours programme. Most of the material contained in the notes is standard although a few new refinements and variations are included. The cour