Radial Convolutors on Free Groups
Radial convolutors on free groups
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...
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 .
Reduction of invariant differential operators and expansions of conical distributions for
Reflexive invariant subspaces of L... (G) are finite dimensional.
Reiter's condition on foundation semigroups.
Remark on Herz-Schur Multipliers on Free Groups.
Representing Positive Definite B-Invariant Functions on [FC]... Groups.
Resonance classes of measures.
Restriction theorems for the Heisenberg group.
Results on Banach ideals and spaces of multipliers.
Rosenthal sets that cannot be sup-norm partitioned and an application to tensor products