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Trigonometric Series (Cambridge Mathematical Library)
 
 
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Trigonometric Series (Cambridge Mathematical Library) (Paperback)

by A. Zygmund (Author), Robert Fefferman (Foreword) "Here x is a real variable and the coefficients a0, a1, b1, ... are independent of x..." (more)
Key Phrases: equiconvergence theorems, second indefinite integral, miscellaneous theorems, Divergence of Fourier, Theory of the Integral, Using Theorem (more...)
5.0 out of 5 stars See all reviews (1 customer review)

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Customers buy this book with Introduction to Fourier Analysis on Euclidean Spaces. (PMS-32) by Elias M. Stein

Trigonometric Series (Cambridge Mathematical Library) + Introduction to Fourier Analysis on Euclidean Spaces. (PMS-32)
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Editorial Reviews

Review
'... much material previously unpublished in book form.' Zentralblatt MATH

Product Description
Professor Zygmund's Trigonometric Series, first published in Warsaw in 1935, established itself as a classic. It presented a concise account of the main results then known, but on a scale that limited the amount of detailed discussion possible. A greatly enlarged second edition (Cambridge, 1959) published in two volumes took full account of developments in trigonometric series, Fourier series, and related branches of pure mathematics since the publication of the original edition. These two volumes, bound together with a foreword from Robert Fefferman, outline the significance of this text. Volume I, containing the completely re-written material of the original work, deals with trigonometric series and Fourier series. Volume II provides much material previously unpublished in book form.

See all Editorial Reviews

Product Details

  • Paperback: 390 pages
  • Publisher: Cambridge University Press; 3 edition (February 17, 2003)
  • Language: English
  • ISBN-10: 0521890535
  • ISBN-13: 978-0521890533
  • Product Dimensions: 9.1 x 6 x 1.6 inches
  • Shipping Weight: 2.4 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars See all reviews (1 customer review)
  • Amazon.com Sales Rank: #724,752 in Books (See Bestsellers in Books)

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    #46 in  Books > Science > Mathematics > Infinity

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5 of 5 people found the following review helpful:
5.0 out of 5 stars aging but still a milestone anyway, March 6, 2007
By Gilles Benson (Beauvais, France) - See all my reviews
(REAL NAME)   
I am very surprised to be the first person to write a review on this widely known reference in trigonometric and fourier series; there is nothing much to
say: this is a definite reference although things have certainly changed a bit
since the last time the author did work on it. I found both books in hardback
edition lately at a much cheaper price than as a new paperback and I had an instant use of it when asked a specific question on a math forum by a student...
Definitely belongs to the "Hardy-Littlewood" and "Polya-Szëgo" type but then all the more respectable.
By the way, Zygmund wrote a reference book together with Saks on analytic functions...
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