Semigroups of Linear Operators
With Applications to Analysis, Probability and Physics
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ISBN-13:
9781108716376
Veröffentl:
2019
Erscheinungsdatum:
15.08.2019
Seiten:
232
Autor:
David Applebaum
Gewicht:
358 g
Format:
227x152x14 mm
Sprache:
Englisch
Beschreibung:
Provides a graduate-level introduction to the theory of semigroups of operators.
Introduction; 1. Semigroups and generators; 2. The generation of semigroups; 3. Convolution semigroups of measures; 4. Self adjoint semigroups and unitary groups; 5. Compact and trace class semigroups; 6. Perturbation theory; 7. Markov and Feller semigroups; 8. Semigroups and dynamics; 9. Varopoulos semigroups; Notes and further reading; Appendices: A. The space C0(Rd); B. The Fourier transform; C. Sobolev spaces; D. Probability measures and Kolmogorov's theorem on construction of stochastic processes; E. Absolute continuity, conditional expectation and martingales; F. Stochastic integration and Itô's formula; G. Measures on locally compact spaces: some brief remarks; References; Index.
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