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Displaying similar documents to “Fourier transform, oscillatory multipliers and evolution equations in rearrangement invariant function spaces”

Transferring L p multipliers

Anthony H. Dooley (1986)

Annales de l'institut Fourier

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By combining some results of C. S. Herz on the Fourier algebra with the notion of contractions of Lie groups, we prove theorems which allow transference of L p multipliers either from the Lie algebra or from the Cartan motion group associated to a compact Lie group to the group itself.