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arXiv · 1109.0477

Note on a result of Kerman and Weit

Swagato K. Ray·Rudra P. Sarkar
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Abstract

A result in \cite{Ker-Weit} states that a real valued continuous function $f$ on the circle and its nonnegative integral powers can generate a dense translation invariant subspace in the space of all continuous functions on the circle if $f$ has a unique maximum or a unique minimum. In this note we endeavour to show that this is quite a general phenomenon in harmonic analysis.

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Swagato K. Ray, Rudra P. Sarkar. 2011-09-02. Note on a result of Kerman and Weit. https://arxiv.org/abs/1109.0477

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