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Some new thin sets of integers in harmonic analysis [Article]
We randomly construct various subsets A of the integers which have both smallness and largeness properties. They are small since they are very close, in various senses, to Sidon sets: the continuous functions with spectrum ...
Some translation-invariant Banach function spaces which contain C0 [Article]
(Polish Academy of Sciences, Institute of Mathematics, 2004)
We produce several situations where some natural subspaces of classical Banach spaces of functions over a compact abelian group contain the space c0.