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Research Report MRR00-010
A spectral multiplier theorem for a sublaplacian on SU(2)
Michael Cowling and Adam Sikora
Abstract:
We prove a Hörmander-type spectral multiplier theorem
for a sublaplacian on SU(2), with critical index determined by the
Euclidean dimension of the group. This result is the analogue for
SU(2) of the result for the Heisenberg group obtained by D.
Müller and E.M. Stein and by W. Hebisch.
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