English

Note on a result of Kerman and Weit

Functional Analysis 2011-09-05 v1

Abstract

A result in \cite{Ker-Weit} states that a real valued continuous function ff 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 ff 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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Cite

@article{arxiv.1109.0477,
  title  = {Note on a result of Kerman and Weit},
  author = {Swagato K. Ray and Rudra P. Sarkar},
  journal= {arXiv preprint arXiv:1109.0477},
  year   = {2011}
}

Comments

5 pages

R2 v1 2026-06-21T18:58:57.745Z