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The Approximation by Partial Sums of Fourier Series

✍ Scribed by R. Salem and A. Zygmund


Book ID
125668028
Publisher
American Mathematical Society
Year
1946
Tongue
English
Weight
505 KB
Volume
59
Category
Article
ISSN
0002-9947

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In our earlier work we developed an algorithm for approximating the locations of discontinuities and the magnitudes of jumps of a bounded function by means of its truncated Fourier series. The algorithm is based on some asymptotic expansion formulas. In the present paper we give proofs for those for