Chapter

9. Fourier Analysis on (L² ) , motion group and Laplacian

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Stationary Stochastic Processes

This chapter is in the book Stationary Stochastic Processes

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Chapters in this book

Frontmatter i
Preface iii
Contents iv
0. Introduction 1
1. Background 3
2. Brownian motion 14
3. Additive processes 31
4. Stationary processes 62
5. Gaussian processes 86
6. Hilbert space(L²) arising from white noise 94
7. FLow of the Brownian motion. 106
8. Infinite dimensional rotation group 113
9. Fourier Analysis on (L² ) , motion group and Laplacian 120
10. Applications 135
11. Generalized White Noise 147
Appendix 163

https://doi.org/10.1515/9781400868575-011

Chapters in this book

Frontmatter i
Preface iii
Contents iv
0. Introduction 1
1. Background 3
2. Brownian motion 14
3. Additive processes 31
4. Stationary processes 62
5. Gaussian processes 86
6. Hilbert space(L²) arising from white noise 94
7. FLow of the Brownian motion. 106
8. Infinite dimensional rotation group 113
9. Fourier Analysis on (L² ) , motion group and Laplacian 120
10. Applications 135
11. Generalized White Noise 147
Appendix 163

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