论文标题

在涉及三角多项式的PTH功率的大筛分不平等上

On large sieve inequalities involving pth powers of trigonometric polynomials

论文作者

Norvidas, Saulius

论文摘要

在本文中,我们将大筛型估计值扩展到涉及三角多项式PTH功率的总和。给出了不依赖通常的l^2技术的这种估计方法。我们的方法基于比较三角多项式范围空间上卷积算子的范围和光谱半径。

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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