Spectral Theory of Dynamical Systems 3034897960, 978-3-0348-9796-9, 978-3-0348-8841-7, 3034888414
This book treats some basic topics in the spectral theory of dynamical systems, where by a dynamical system we mean a me
268 85 1MB
English Pages 182 [177] Year 1998
Table of contents :
Front Matter....Pages i-ix
The Hahn-Hellinger Theorem....Pages 1-16
The Spectral Theorem for Unitary Operators....Pages 17-19
Symmetry and Denseness of the Spectrum....Pages 21-25
Multiplicity and Rank....Pages 27-31
The Skew Product....Pages 33-35
A Theorem of Helson and Parry....Pages 37-43
Probability Measures on the Circle Group....Pages 45-50
Baire Category Theorems of Ergodic Theory....Pages 51-61
Translations of Measures on the Circle....Pages 63-73
B. Host’s Theorem....Pages 75-82
L ∞ Eigenvalues of Non-Singular Automorphisms....Pages 83-89
Generalities on Systems of Imprimitivity....Pages 91-97
Dual Systems of Imprimitivity....Pages 99-107
Saturated Subgroups of the Circle Group....Pages 109-117
Riesz Products As Spectral Measures....Pages 119-147
Additional Topics....Pages 149-169
Back Matter....Pages 171-182
