An application of a local version of Chang's theorem

Details An application of a local version of Chang's theorem An application of a local version of Chang's theorem

2006-07-26

arxiv.org/abs/math/0607668v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We prove a theorem claimed in math.CA/0605519 which asserts that if A is a
subset of a compact abelian group G with density of a particular (natural,
although technical) form then the A(G)-norm (that is the sum of the absolute
values of the Fourier transform) of the characteristic function of A cannot be
too small.

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