The Size of Exponential Sums on Intervals of the Real Line |
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| Authors: | Tamás Erdélyi Kaveh Khodjasteh Lorenza Viola |
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| Institution: | 1. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA
2. Department of Physics and Astronomy, Dartmouth College, 6127 Wilder Laboratory, Hanover, NH, 03755, USA
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| Abstract: | We prove that there is a constant c>0 depending only on M≥1 and μ≥0 such that
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òyy+a |g(t)| dt 3 exp(-c/(ad)), ad ? (0,p],\int_y^{y+a}{ \bigl|g(t)\bigr| \, dt} \geq \exp \bigl(-c/(a\delta)\bigr), \quad a\delta \in (0,\pi], |
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