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T -filtres, ensembles analytiques et transformation de Fourier P -adique

Alain Escassut (1975)

Annales de l'institut Fourier

Les propriétés des éléments analytiques sur une partie D d’un corps ultramétrique complet, algébriquement clos, dépendent de l’existence sur D de filtres strictement annulateurs que l’on caractérise par des relations arithmétiques entre les diamètres et les distances mutuelles des trous de D grâce à la notion de T -filtre. Alors les ensembles analytiques sont les ensembles sans T -filtre à plage non vide. D’autre part, le problème de la transformation de Fourier p -adique se ramène à un problème d’analycité...

Tame L p -multipliers

Kathryn Hare (1993)

Colloquium Mathematicae

We call an L p -multiplier m tame if for each complex homomorphism χ acting on the space of L p multipliers there is some γ 0 Γ and |a| ≤ 1 such that χ ( γ m ) = a m ( γ 0 γ ) for all γ ∈ Γ. Examples of tame multipliers include tame measures and one-sided Riesz products. Tame multipliers show an interesting similarity to measures. Indeed we show that the only tame idempotent multipliers are measures. We obtain quantitative estimates on the size of L p -improving tame multipliers which are similar to those obtained for measures, but...

Tempered reductive homogeneous spaces

Yves Benoist, Toshiyuki Kobayashi (2015)

Journal of the European Mathematical Society

Let G be a semisimple algebraic Lie group and H a reductive subgroup. We find geometrically the best even integer p for which the representation of G in L 2 ( G / H ) is almost L p . As an application, we give a criterion which detects whether this representation is tempered.

Tensor products and p-induction of representations on Banach spaces.

Philippe Jaming, William Moran (2000)

Collectanea Mathematica

In this paper we obtain Lp versions of the classical theorems of induced representations, namely, the inducing in stages theorem, the Kronecker product theorem, the Frobenius Reciprocity theorem and the subgroup theorem. In doing so we adopt the tensor product approach of Rieffel to inducing.

Testing Cayley graph densities

Goulnara N. Arzhantseva, Victor S. Guba, Martin Lustig, Jean-Philippe Préaux (2008)

Annales mathématiques Blaise Pascal

We present a computer-assisted analysis of combinatorial properties of the Cayley graphs of certain finitely generated groups: given a group with a finite set of generators, we study the density of the corresponding Cayley graph, that is, the least upper bound for the average vertex degree (= number of adjacent edges) of any finite subgraph. It is known that an m -generated group is amenable if and only if the density of the corresponding Cayley graph equals to 2 m . We test amenable and non-amenable...

The almost Daugavet property and translation-invariant subspaces

Simon Lücking (2014)

Colloquium Mathematicae

Let G be a metrizable, compact abelian group and let Λ be a subset of its dual group Ĝ. We show that C Λ ( G ) has the almost Daugavet property if and only if Λ is an infinite set, and that L ¹ Λ ( G ) has the almost Daugavet property if and only if Λ is not a Λ(1) set.

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