Conferenza
di
ANALISI
ARMONICA
ore
15.00
Scuola Normale
Superiore
Pisa
(Aula
Mancini)
Elias M.
Stein
Princeton
University
Terrà una conferenza dal
titolo:
"Some
discrete analogues in harmonic analysis"
Abstract
We
will review and survey the background and some recent results concerning
discrete analogues that arise in harmonic analysis. When the corresponding R^n
results involve "curvature", the passage to their discrete analogues requires
estimates for exponential sums of the kind that are used in the circle method.
In the classical setting these exponential sums are scalar-valued, but here one
needs operator-valued analogues. This will be illustrated in the situation of
the Heisenberg group, where the curvature is inherent in its underlying
symplectic form.
Tutti
gli interessati sono invitati a partecipare.