2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69573Sharp 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.18 pagesRepresentation TheoryGroup Theory43A77; 22E46; 46L07Sharp Fourier type and cotype with respect to compact semisimple Lie groupstext