Large Sieve Estimates on Arcs of a Circl
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Leonid Golinskii; Doron S. Lubinsky; Paul Nevai
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Article
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2001
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Elsevier Science
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English
⚖ 166 KB
Let 0 [ a < b [ 2p and let D= def {e ih : h ¥ [a, b]}. We show that for generalized (non-negative) polynomials P of degree r and p > 0, we have where a 1 , a 2 , ..., a m ¥ D, c is an absolute constant (and, thus, it is independent of a, b, p, m, r, P, {a j }) and y is an explicitly determined cons