Troels Steenstrup
Published 2010-01-03Version 1
Let G be a second countable, locally compact group and let f be a continuous Herz-Schur multiplier on G. Our main result gives the existence of a (not necessarily uniformly bounded) strongly continuous representation on a Hilbert space, such that f is the coefficient of this representation with respect to two vectors with bounded orbit. Moreover, we show that the norm of the representation of an element g from G is at most exponential in terms of the metric distance from g to the identity element of G.
On the computability of some positive-depth supercuspidal characters near the identity
Induced representations of infinite-dimensional groups
Unitary $L^{p+}$-representations of almost automorphism groups
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