Absolutely continuus spectrum 21
Bagchi's theorem 95 97
Beurling's theorems 25 30 79
Bochner's theorem 43 44 51
Canonical basis 8
Coboundary 53 57 85 90
Cocycle 53 57 84 87
Cocycle, equivalent 94
Cocycle, trivial 69 94
Commuting operators 36 37 41
Cyclic vector 21
Discrete spectrum 21 89
distribution 53—56 58 59
Dual group 51
Dynamical system 53
Extensions of cocycles 91
Fuglede's theorem 38
Functional calculus 14 33 39
Hamachi's theorem 73
Kesten's theorem 64 67
| Kolmogorov's extension theorem 49
Lebesgue spectrum 21 89 92 95 97
Mathew's theorems 92 95 97
Measurable functions 3 4
Moore's theorems 69 74 75
Multiplicity 20 84 90
Nadkarni's theorems 92 95 97
Oka's theorem 73
Osikawa's theorem 73
Petersen's theorem 64 68 100
Poincare's lemma 64
Positive definite 42 43 51
Range function 6
Range function, equivalence 9
Schmidt's theorems 61 69 74 75
Simple spectrum 21 92 95
Singular spectrum 21 89
Spectral measure 12 17 31
Spectral theorem 13 23 34 88
Stone's theorem 82 see
Von Neumann's theorem 82 see
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