Trigonometric Series (Cambridge Mathematical Library) by Cambridge University Press Title: Trigonometric Series (Cambridge Mathematical Library)

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Manufacturer: Cambridge University Press
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Customer Reviews:
Trigonometric Series (Cambridge Mathematical Library) by Cambridge University Press

aging but still a milestone anyway

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...
Trigonometric Series (Cambridge Mathematical Library) by Cambridge University Press

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 Volume II provides much material previously unpublished in book form.