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arXiv · 2209.12294

On large sieve inequalities involving pth powers of trigonometric polynomials

Saulius Norvidas
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Abstract

In this paper, we extend the large sieve type estimates to sums involving pth powers of trigonometric polynomials. An approach to such estimates that does not rely on the usual L^2-technique is given. Our method is based on comparing the norm and the spectral radius of convolution operators on a normed space of trigonometric polynomials.

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Saulius Norvidas. 2022-09-25. On large sieve inequalities involving pth powers of trigonometric polynomials. https://arxiv.org/abs/2209.12294

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