Algebrability of the set of non-convergent Fourier series
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چکیده
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a cross-comparative dtudy between two textbook series in terms of the presentation of politeness
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15 صفحه اولThe Existence of Nonabsolutely Convergent Fourier Series on Compact Groups
1. J. W. S. Cassels, An introduction to diophantine approximation, Cambridge University Press, 1959, Chapter IV, §5. 2. J. F. Koksma, Diophantische Approximationen, Ergebnisse der Mathematik, vol. IV, Berlin, Springer, 1937, Chapter VIII, §3. 3. G. M. Petersen, Almost convergence and uniformly distributed sequences, Quart. J. Math. vol. 7 (1956) pp. 188-191. 4. H. Weyl, Uber die Gleichverteilun...
متن کاملDetermination of a jump by Fourier and Fourier-Chebyshev series
By observing the equivalence of assertions on determining the jump of a function by its differentiated or integrated Fourier series, we generalize a previous result of Kvernadze, Hagstrom and Shapiro to the whole class of functions of harmonic bounded variation. This is achieved without the finiteness assumption on the number of discontinuities. Two results on determination of ...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2006
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm175-1-5