2011/09/02 by Swagato K. Ray, Ray, Swagato K., Rudra P. Sarkar +1
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Primary 43A85 #Secondary 22E30 #math.FA #msc:22E30 #msc:43A85
paper · pdf · doi:10.48550/arxiv.1109.0477
5 pages
arxiv created 2011/09/02 · arxiv updated 2011/09/05
A result in \citeKer-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.