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BANACH SPACE OPERATORS WITH A BOUNDED H^∞ FUNCTIONAL CALCULUS
In this paper, we give a general definition for f(T) when T is a linear operator acting in a Banach space, whose spectrum lies within some sector, and which satisfies certain resolvent bounds, andExpand
Completely bounded multipliers of the Fourier algebra of a simple Lie group of real rank one
The Fourier algebra A(G) of a locally compact group G is the space of matrix coefficients of the regular representation, and is the predual of the yon Neumann algebra VN(G) generated by the regularExpand
On maximal functions
SuntoSi dà una nuova dimostrazione, più semplice, del teorema di E. M. Stein sulla funzione massimale sferica; si trova qualche generalizzazione.SummaryWe give a new, simpler, version of E. M.Expand
Almost L2 matrix coefficients.
The purpose of this note is to insert into the literature two long-but-not-wellknown facts about matrix coefficients of unitary representations. Our first theorem concerns general locally compactExpand
H-type groups and Iwasawa decompositions☆
Since their introduction by A. Kaplan [Kpl] some ten years ago, generalised Heisenberg groups, also known as groups of Heisenberg type or H-type groups, have provided a framework in which toExpand
Harmonic analysis on semigroups
wherever t > 0 and 1 < p < so. E. M. Stein [St 3] developed a "LittlewoodPaley" theory for such semigroups, with some additional hypotheses. R. R. Coifman, R. Rochberg, and G. Weiss [CRW] pointed outExpand
Groups with the Haagerup Property: Gromov’s a-T-menability
1 Introduction.- 1.1 Basic definitions.- 1.1.1 The Haagerup property, or a-T-menability.- 1.1.2 Kazhdan's property (T).- 1.2 Examples.- 1.2.1 Compact groups.- 1.2.2 SO(n, 1) and SU(n, 1).- 1.2.3Expand
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