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Multiple disjointness and invariant measures on minimal distal flows

Juho Rautio (2015)

Studia Mathematica

We examine multiple disjointness of minimal flows, that is, we find conditions under which the product of a collection of minimal flows is itself minimal. Our main theorem states that, for a collection X i i I of minimal flows with a common phase group, assuming each flow satisfies certain structural and algebraic conditions, the product i I X i is minimal if and only if i I X i e q is minimal, where X i e q is the maximal equicontinuous factor of X i . Most importantly, this result holds when each X i is distal. When the phase...

Multiplicateurs de Mikhlin pour une classe particulière de groupes non-unimodulaires

Sami Mustapha (1998)

Annales de l'institut Fourier

On montre, pour une classe particulière de groupes non-unimodulaires G = N , où N est un groupe de Lie stratifié et où l’action de est définie par les dilatations naturelles de N , et pour les sous-laplaciens invariants à gauche correspondants Δ , que toute fonction m H 2 + ϵ ( ) possédant un support compact dans + définit un opérateur m ( Δ ) borné sur les espaces de Lebesgue L p ( G , d r g ) associés à la mesure de Haar invariante à droite sur G , 1 p .

Multiplicative Systems on Ultra-Metric Spaces

Memic, Nacima (2010)

Mathematica Balkanica New Series

AMS Subj. Classification: MSC2010: 42C10, 43A50, 43A75We perform analysis of certain aspects of approximation in multiplicative systems that appear as duals of ultrametric structures, e.g. in cases of local fields, totally disconnected Abelian groups satisfying the second axiom of countability or more general ultrametric spaces that do not necessarily possess a group structure. Using the fact that the unit sphere of a local field is a Vilenkin group, we introduce a new concept of differentiation in...

Multiplier theorem on generalized Heisenberg groups II

Waldemar Hebisch, Jacek Zienkiewicz (1996)

Colloquium Mathematicae

We prove that on a product of generalized Heisenberg groups, a Hörmander type multiplier theorem for Rockland operators is true with the critical index n/2 + ϵ, ϵ>0, where n is the euclidean (topological) dimension of the group.

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