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Professor Zygmund's Trigonometric sequence, first released in Warsaw in 1935, verified itself as a vintage. It provided a concise account of the most effects then recognized, yet on a scale that restricted the volume of unique dialogue attainable. A vastly enlarged moment version (Cambridge, 1959) released in volumes took complete account of advancements in trigonometric sequence, Fourier sequence, and similar branches of natural arithmetic because the book of the unique variation. those volumes, sure including a foreword from Robert Fefferman, define the importance of this article. quantity I, containing the thoroughly re-written fabric of the unique paintings, bargains with trigonometric sequence and Fourier sequence. quantity II offers a lot fabric formerly unpublished in publication shape.

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