Preprints


The papers on this page have never appeared in print, butin all other respects most of them are not any worse thanmy published ones. Some of them will eventually be rewrittenand publishedsomewhere; others will be deleted as soon as they get"out of date". They are of different quality and writtenin different style. I hope that 90% of them are understandable,but when reading them, you should never forget that I wrotethem for myself rather than for anyone else.

If you have any questions or commentsabout mathematics in any of the papersbelow, feel free to ask me. The best way is toE-mail me at fedja@math.msu.edu.


On the behavior of a trigonometric polynomialwith given number of terms on small subsets of theunit circumference. (1994),
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Complete version of the Turan lemma for trigonometric polynomialson the unit circumference(1995)
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Summability of large powers of logarithm of classic lacunary series and itssimplest consequences (1995)
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Growth of entire functions with sparse spectra(1996),
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The Beurling lemma via the Bellman function.(1996)
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Little level theorem and Zero-Khinchin inequality for sums of independentrandom variables. (joint with Ball K., 1996)
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Ball, Haagerup, and distribution functions.(joint with Podkorytov A.N.(1996)
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A counterexample to Sarason's conjecture(1997)
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Sawyer's theorems via the Bellman function(joint with Treil S.R. and Volberg A.L.,1996)
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Pulling ourselves by hair (the proof of the Vitushkin conjecture)(joint with Treil S.R. and Volberg A.L.,1997)
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