Recognition and limit theorems for -multipliers
Recovery of band-limited functions on locally compact Abelian groups from irregular samples
Using the techniques of approximation and factorization of convolution operators we study the problem of irregular sampling of band-limited functions on a locally compact Abelian group . The results of this paper relate to earlier work by Feichtinger and Gröchenig in a similar way as Kluvánek’s work published in 1969 relates to the classical Shannon Sampling Theorem. Generally speaking we claim that reconstruction is possible as long as there is sufficient high sampling density. Moreover, the iterative...
Recurrence Formulas for Zonal Polynomials.
Recurrent and weakly recurrent points in G.
Recurrent points and discrete points for elementary amenable groups.
Recurrent Random Walks and Invariant Measures on Semigroups of n x n Matrices.
Reducible representations of abelian groups
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 spaces on locally compact abelian groups, for even weights and .
Réduction modulo pn des sous-ensembles analytiques fermés de Z... .
Reduction of invariant differential operators and expansions of conical distributions for
Reductive compactifications of semitopological semigroups.
Refined Hardy inequalities
The aim of this article is to present “refined” Hardy-type inequalities. Those inequalities are generalisations of the usual Hardy inequalities, their additional feature being that they are invariant under oscillations: when applied to highly oscillatory functions, both sides of the refined inequality are of the same order of magnitude. The proof relies on paradifferential calculus and Besov spaces. It is also adapted to the case of the Heisenberg group.
Reflexive invariant subspaces of L... (G) are finite dimensional.
Reflexively representable but not Hilbert representable compact flows and semitopological semigroups
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...
Regular orbital measures on Lie algebras
Let H₀ be a regular element of an irreducible Lie algebra , and let be the orbital measure supported on . We show that if and only if k > dim /(dim - rank ).
Regular quasimultipliers of some semisimple Banach algebras
Regular variation on homogeneous cones
Regularity of conjugacies between critical circle maps: an experimental study.
Regularity of convex functions on Heisenberg groups
We discuss differentiability properties of convex functions on Heisenberg groups. We show that the notions of horizontal convexity (h-convexity) and viscosity convexity (v-convexity) are equivalent and that h-convex functions are locally Lipschitz continuous. Finally we exhibit Weierstrass-type h-convex functions which are nowhere differentiable in the vertical direction on a dense set or on a Cantor set of vertical lines.
Reiter's condition on foundation semigroups.
Relationships between families of thin sets