Sharp Fourier type and cotype with respect to compact semisimple Lie groups

Mathematics – Representation Theory

Scientific paper

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18 pages

Scientific paper

Sharp Fourier type and cotype of Lebesgue spaces and Schatten classes with
respect to an arbitrary compact semisimple Lie group are investigated. In the
process, a local variant of the Hausdorff-Young inequality on such groups is
given.

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