The Size of Exponential Sums on Intervals of the Real Line
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We prove that there is a constant c > 0 depending only on M 1 and 0 such that, for every g of the form, where the exponents j satisfy 0 = 0, j j > 0, j=1,2,..., and for every subinterval [y, y + a] of the real line. Establishing inequalities of this variety is motivated by problems in physics. 2011 Springer Science+Business Media, LLC.