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 Jul 25 - Jul 30

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

4.1 ★★★★★
Based on 23 reviews
Sort
Highest Rating
Newest First
Oldest First
Product Reviews
R
Verified Purchase
rhpatz
Phoenix, US
★★★★★ 4
Item not quite like the picture.
Color: Barkfast Dog Toy Set
I didn’t realize they were stuffed and not flat.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on March 23, 2026
S
Verified Purchase
S.Noelle
San Leandro, US
★★★★★ 5
Pups all time FAVORITE!
Color: Dim Sum Dumpling Pet Toy Set
Our pups FAVORITE “ball”. He’s obsessed and has a blast with these little dumplings. Small size toy, but our medium labradoodle loooves them. Not to loud of an squaek either. They last quite awhile before he pops the squeaker. Fabric holds up really well.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on March 13, 2026
B
Verified Purchase
BL
Cuba, US
★★★★★ 5
Great squeaky fetch toy for small dogs
Color: Dim Sum Dumpling Pet Toy Set
My dog loves these little squeaky dumpling toys. They are the right size for small dogs (under 20 pounds) to chase and fetch, and they have good squeakers inside. They have a friendly look and my dog can fit them in her mouth.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on January 4, 2026
R
Verified Purchase
Riverady241
Chelsea, US
★★★★★ 5
Cute toy for small dogs!
Color: Pinata Dog Toy
My dog is obsessed with this toy. This does not have a squeaker in it which is great cuz she doesnt like them. The crinkles and rope seem very durable. She did eat the tail very quickly but overall its held up well! Great tug toy for a small dog or puppy!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 10, 2026
C
Verified Purchase
cynthia
Chelsea, US
★★★★★ 5
Very sturdy dog toy...
Color: Pinata Dog Toy
This doggy toy piñata is so cute my pup loves it. I have a rat terrier, he likes the colors... I really recommend it for all size dogs,
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on March 20, 2026

recommand products