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An inequality between square norms on dual groups

An inequality between square norms on dual groups

The Plancherel Theorem asserts the equality of the ZĪ›norms (with respect to Haar measure) of a function / on a locally compact abelian group G and of its Fourier transform /.The Hausdorff-Young inequality gives conditions on p and q under which \\f\\ q ^ 11/lip.We consider a different variant: we ā€¦