On a problem of Kahane in higher dimensions

James Wright

On a problem of Kahane in higher dimensions

School of Mathematics

Research output: Working paper

Abstract

We characterise those real analytic mappings between any pair of tori which carry absolutely convergent Fourier series to uniformly convergent Fourier series via composition. We do this with respect to rectangular summation. We also investigate uniform convergence with respect to square sums and highlight the differences which arise.

Original language	English
Publisher	ArXiv
Number of pages	66
Publication status	Published - 16 Nov 2016

Keywords / Materials (for Non-textual outputs)

math.CA
42B05, 42B08, 42B20

Access to Document

https://arxiv.org/abs/1611.05398

James Wright
- School of Mathematics - Chair in Mathematical Analysis
Person: Academic: Research Active

Cite this

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On a problem of Kahane in higher dimensions

Abstract

Keywords / Materials (for Non-textual outputs)

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James Wright

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