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by Salomon Bochner
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ISBN: 0486446204 Dover Publications Price: $12.95 |
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This classic text emphasizes the stochastic processes and the interchange of stimuli between probability and analysis. Non-probabilistic topics include Fourier series and integrals in many variables; the Bochner integral; and the transforms of Plancherel, Laplace, Poisson, and Mellin. Most notable is the systematic presentation of Bochner's characteristic functional. 1955 edition.
Unabridged republication of the Berkeley, 1955 edition.
Table of Contents for Harmonic Analysis and the Theory of Probability
| 1. Approximations | |||||||
| 2. Fourier Expansions | |||||||
| 3. Closure Properties of Fourier Transforms | |||||||
| 4. Laplace and Mellin Transforms | |||||||
| 5. Stochastic Processes and Characteristic Functionals | |||||||
| 6. Analysis of Stochastic Processes | |||||||
| Notes and References | |||||||
| Indexes |