search for books and compare prices
Tables of Contents for Multidimensional Second Order Stochastic Processes
Chapter/Section Title
Page #
Page Count
Preface
iii
 
Chapter I. Introduction and preliminaries
1
16
1.1. Stationary processes
1
3
1.2. Harmonizable processes
4
5
1.3. Multidimensional and other extensions
9
6
Bibliographical notes
15
2
Chapter II. Hilbert modules and covariance kernels
17
36
2.1. Normal Hilbert B(H)-modules
17
4
2.2. Submodules, operators and functionals
21
5
2.3. Characterization and structure
26
6
2.4. Positive definite kernels and reproducing kernel spaces
32
14
2.5. Harmonic analysis for normal Hilbert B(H)-modules
46
6
Bibliographical notes
52
1
Chapter III. Stochastic measures and operator valued bimeasures
53
95
3.1. Semivariations and variations
53
21
3.2. Orthogonally scattered dilations
74
12
3.3. Gramian orthogonally scattered dilations
86
21
3.4. The spaces L(1)(F) and L(2)(F)
107
12
3.5. The spaces XXX(1)(XXX) and XXX(2)(M)
119
10
3.6. Riesz type theorems
129
7
3.7. Convergence
136
9
Bibliographical notes
145
3
Chapter IV. Multidimensional stochastic processes
148
55
4.1. General concepts
148
3
4.2. Stationary processes
151
4
4.3. Harmonizable processes
155
11
4.4. V-bounded processes
166
7
4.5. Cramer and Karhunen classes
173
5
4.6. Series representations
178
5
4.7. Moving average representations
183
1
4.8. Approximation and convergence
184
8
4.9. Subordination
192
8
Bibliographical notes
200
3
Chapter V. Special topics
203
45
5.1. Wold decompositions
203
5
5.2. Cramer decompositions
208
4
5.3. The KF-class
212
6
5.4. Uniformly bounded linearly stationary processes
218
5
5.5. Periodically correlated processes
223
11
5.6. Final remarks
234
11
(1) Isotropic processes
234
3
(2) Processes on hypergroups
237
4
(3) Processes on locally compact groups
241
4
Bibliographical notes
245
3
Chapter VI. Applications
248
48
6.1. Prediction problems
248
11
6.2. Kalman filter
259
16
6.3. Sampling theorems
275
10
6.4. Strong laws of large numbers
285
8
Bibliographical notes
293
3
References
296
20
Indices
316
 
Notation index
316
6
Author Index
322
4
Subject index
326