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Displaying 101 – 120 of 155

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Reducible representations of abelian groups

Aharon Atzmon (2001)

Annales de l’institut Fourier

A criterion for reducibility of certain representations of abelian groups is established. Among the applications of this criterion, we give a positive answer to the translation invariant subspace problem for weighted L p spaces on locally compact abelian groups, for even weights and 1 < p < .

Reflexively representable but not Hilbert representable compact flows and semitopological semigroups

Michael Megrelishvili (2008)

Colloquium Mathematicae

We show that for many natural topological groups G (including the group ℤ of integers) there exist compact metric G-spaces (cascades for G = ℤ) which are reflexively representable but not Hilbert representable. This answers a question of T. Downarowicz. The proof is based on a classical example of W. Rudin and its generalizations. A~crucial step in the proof is our recent result which states that every weakly almost periodic function on a compact G-flow X comes from a G-representation of X on reflexive...

Representations and Positive Definite Functions on Hypergroups

Nasr-Isfahani, A. (1999)

Serdica Mathematical Journal

Some relationships between representations of a hypergroup X, its algebras, and positive definite functions on X are studied. Also, various types of convergence of positive definite functions on X are discussed.

Représentations de semi-groupes de mesures sur un groupe localement compact

Michel Duflo (1978)

Annales de l'institut Fourier

Soit T une distribution dissipative sur un groupe de Lie G et soit π une représentation fortement continue de G dans un espace de Banach. Supposons T à support compact. Il y a deux façons évidentes de définir un opérateur fermé π ( T ) : une faible et une forte. Le résultat principal de cet article est que l’on obtient le même résultat et que π ( T ) engendre un semi-groupe fortement continu d’opérateurs.

Structure of the kernel of higher spin Dirac operators

Martin Plechšmíd (2001)

Commentationes Mathematicae Universitatis Carolinae

Polynomials on n with values in an irreducible Spin n -module form a natural representation space for the group Spin n . These representations are completely reducible. In the paper, we give a complete description of their decompositions into irreducible components for polynomials with values in a certain range of irreducible modules. The results are used to describe the structure of kernels of conformally invariant elliptic first order systems acting on maps on n with values in these modules.

Sur les caractères des groupes de Lie résolubles

Michalis Anoussis (1991)

Annales de l'institut Fourier

On considère un groupe de Lie résoluble, connexe, unimodulaire G d’algèbre de Lie g . Soit l dans le dual de l’espace vectoriel g . Sous l’hypothèse que g ( l ) est réductive dans g on construit une application φ F l , φ de D ( G ) dans l’espace des fonctions C sur une partie ouverte et dense de G ( l ) . En utilisant cette application on donne une formule pour la trace de l’opérateur n ( l , G ) ( φ ) , où n ( l , G ) est la représentation unitaire du groupe G associée à l . Cette formule s’applique aux représentations de carré intégrable modulo Z ( G ) du...

Currently displaying 101 – 120 of 155