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Description
Harmonic Analysis and the Theory of ProbabilityNineteenth 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
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.
Binding Type: Paperback
Publisher: Dover Publications
Published: 08/27/2005
ISBN: 9780486446202
Pages: 176
Weight: 0.44lbs
Size: 8.46h x 5.52w x 0.39d
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★★★★★ 5
Lathers great in a small amount!
Scent: Bergamot, Size: 16 Fl Oz (Pack of 1), Scent: Bergamot, Size: 16 Fl Oz (Pack of 1)
Lathers great for a small amount! A fair price for the amount and rich content. I just bought, used and love it. Definitely will purchase again. I love the sophisticated yet sensible smell doesn't overpower. In my perception it is a unisex scent as I am a woman and bought for myself.
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Reviewed in the United States on May 28, 2026
★★★★★ 5
My favorite body wash
Scent: Bergamot, Size: 16 Fl Oz (Pack of 1), Scent: Bergamot, Size: 16 Fl Oz (Pack of 1)
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Reviewed in the United States on April 13, 2026
★★★★★ 5
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Scent: Bergamot, Size: 16 Fl Oz (Pack of 1)
Cremo Body Wash with Italian Bergamot, Neroli Blossom, and Fresh Vetiver smells far more expensive than it has any right to. The scent hits that sweet spot between fresh and refined. The bergamot gives it a clean citrus lift, the neroli adds a smooth floral edge, and the vetiver grounds it with a subtle, masculine depth that does not scream but absolutely speaks.
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Reviewed in the United States on February 28, 2026
★★★★★ 5
If you have sensitive skin and dont want premium prices, Cremo’s body wash is an excellent option A+
Scent: Palo Santo, Size: 16 Fl Oz (Pack of 1), Scent: Palo Santo, Size: 16 Fl Oz (Pack of 1)
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Reviewed in the United States on October 5, 2025
★★★★★ 5
If you want a great soap in a budget, buy Cremo body wash.
Scent: Cypress Santal, Size: 16 Fl Oz (Pack of 1)
Really good soap!! Leaves your skin soft and smells great. Light fragance and provides a good lather.
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Reviewed in the United States on April 25, 2026