On large sieve inequalities involving pth powers of trigonometric polynomials
Classical Analysis and ODEs
2022-09-27 v1
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.
Keywords
Cite
@article{arxiv.2209.12294,
title = {On large sieve inequalities involving pth powers of trigonometric polynomials},
author = {Saulius Norvidas},
journal= {arXiv preprint arXiv:2209.12294},
year = {2022}
}