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Sojourns and extremes of Fourier sums and series with random coefficients

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Let X(t) be the trigonometric polynomial [Sigma]kj=0aj(Ut cos jt+Vj sin jt), -[infinity] u}, and M(t) = max{X(s): 0[less-than-or-equals, slant]s[less-than-or-equals, slant]t}. Limit theorems for Lt(u) and P(M(t) > u) for u-->[infinity] are obtained under
Berman, Simeon M.
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