Harmonic Analysis And The Theory Of Probability

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9781258288549: Harmonic Analysis And The Theory Of Probability
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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.

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Other Popular Editions of the Same Title

9780486446202: Harmonic Analysis and the Theory of Probability (Dover Books on Mathematics)

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ISBN 10:  0486446204 ISBN 13:  9780486446202
Publisher: Dover Publications, 2005
Softcover

9781258282189: Harmonic Analysis And The Theory Of Probability

Litera..., 2012
Hardcover

9781114108172: Harmonic analysis and the theory of probability (California monographs in mathematical sciences)

Univer..., 1960
Hardcover

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Book Description Literary Licensing, LLC, United States, 2012. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****. 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. Seller Inventory # APC9781258288549

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Book Description Literary Licensing, LLC, United States, 2012. Paperback. Condition: New. Language: English . Brand New Book ***** Print on Demand *****.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. Seller Inventory # APC9781258288549

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Book Description Literary Licensing, LLC. Paperback. Condition: New. This item is printed on demand. 184 pages. Dimensions: 8.9in. x 5.9in. x 0.5in.Nineteenth-century studies of harmonic analysis were closely linked with the work of Joseph Fourier on the theory of heat and with that of P. S. Laplace on probability. During the 1920s, the Fourier transform developed into one of the most effective tools of modern probabilistic research; conversely, the demands of the probability theory stimulated further research into harmonic analysis. Mathematician Salomon Bochner wrote a pair of landmark books on the subject in the 1930s and 40s. In this volume, originally published in 1955, he adopts a more probabilistic view and emphasizes 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; the transforms of Plancherel, Laplace, Poisson, and Mellin; applications to boundary value problems, to Dirichlet series, and to Bessel functions; and the theory of completely monotone functions. The primary significance of this text lies in the last two chapters, which offer a systematic presentation of an original concept developed by the author and partly by LeCam: Bochners characteristic functional, a Fourier transform on a Euclidean-like space of infinitely many dimensions. The characteristic functional plays a role in stochastic processes similar to its relationship with numerical random variables, and thus constitutes an important part of progress in the theory of stochastic processes. This item ships from La Vergne,TN. Paperback. Seller Inventory # 9781258288549

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