SKU: 21540695109

Harmonic Analysis and the Theory of Probability

Sale price$9.91 Regular price$11.01
Save 10%

Pay in installments of $2.75 with ShopPay, AfterPay and Klarna

Shipping Estimate
USA
  • USA
  • CAN

Ships within 48 hours · Estimated delivery Oct 2 - Oct 7

Promo Codes Available:

For Your Every Summer RSVP, with Code: SUMMER15

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
Shipping Notes
  • Free Standard Shipping on $100+ Orders to the USA.
  • Except Preorder products are shipped in 48 hours.
  • Delivery to the USA:
  1. Standard Shipping : 3-10 business days
  • If time is of the essence, please consider selecting expedited delivery for faster service.
Exchange/Return Notes
  • We offer a 30-day return/exchange service after receiving.
  • Final sale items are not eligible for returns or exchanges.
  • To process your return/exchange, please contact us at [email protected]
  • Please click here for more details>>> Return & Exchange Policy
SKU: 21540695109

Discover Niche Categories That Outsell

Top-Converting Item to Boost Your Average Order

4.8 ★★★★★
Based on 9 reviews
Sort
Highest Rating
Newest First
Oldest First
Product Reviews
L
Verified Purchase
Linda O
Grantham, US
★★★★★ 5
Umbrella
Color: Tan, Size: 10 Foot, Color: Tan, Size: 10 Foot
10ft umbrella was perfect very good quality
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 25, 2026
P
Verified Purchase
pamvera
Houston, US
★★★★★ 5
Great umbrella for price
Color: Navy, Size: 10 Foot
Great price, seems durable, fast shipped
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 23, 2026
C
Verified Purchase
Christine
Grantham, US
★★★★★ 5
Color was great
Color: Tan, Size: 9 Foot
Perfect patio umbrella, price was fantastic.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on January 18, 2026
A
Amanda M. Miller
Louisville, US
★★★★★ 5
Easy to use
Color: Navy, Size: 10 Foot, Color: Navy, Size: 10 Foot
Easy setup and easy use, cranks open very smoothly with no trouble. The fabric is opaque (not light filtering) and sturdy with edges sewn to last. This umbrella provides ample shade and sun protection. It works great and is pretty much as expected. I do find the tilt feature a tad tricky sometimes, maybe becsuse I’ve got smaller hands idk, but other than that it’s great.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 21, 2026
W
"WE WINN!!!"
Boise, US
★★★★★ 4
Budget Baddie...
Color: Tan, Size: 9 Foot
This is a quality/durable self driven (me) beast of an umbrella replacement...It has good color and we chose the Tan 9ft. Easy usage for its weight class all while being budget friendly... atmospheric presence of richness & sturdiness, and very easy to open and close to adjust to this unit's comforts. I haven't put this umbrella out for the season as of yet... because the snow is still present on the grounds of New England! "WE WINN"
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on March 23, 2026

recommand products