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, and… Expand

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 regular… Expand

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

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 compact… Expand

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 to… Expand

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 out… Expand