ISBN: 9780486446202
ID: 1972717
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: Bochner's 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. Mathematics Mathematics eBook, Dover Publications
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ISBN: 9780486446202
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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. Salomon Bochner, Books, Science and Nature, Harmonic Analysis and the Theory of Probability Books>Science and Nature, Dover Publications
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ISBN: 9780486446202
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Harmonic Analysis and the Theory of Probability 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-486-44620-2, Dover Publications
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ISBN: 9780486446202
ID: 181323600
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. Harmonic Analysis and the Theory of Probability Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Dover Publications
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ISBN: 9780486446202
ID: 1604130
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. Harmonic Analysis and the Theory of Probability Bochner, Salomon, Dover Publications
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Title: | Harmonic Analysis and the Theory of Probability |
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Details of the book - Harmonic Analysis and the Theory of Probability
EAN (ISBN-13): 9780486446202
ISBN (ISBN-10): 0486446204
Paperback
Publishing year: 2005
Publisher: DOVER PUBN INC
176 Pages
Weight: 0,200 kg
Language: eng/Englisch
Book in our database since 27.05.2007 17:45:31
Book found last time on 21.05.2016 04:36:30
ISBN/EAN: 9780486446202
ISBN - alternate spelling:
0-486-44620-4, 978-0-486-44620-2
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