The structure of L-ideals of measure algebras. II
The structure of L-ideals of measures algebras
The structure of limit measures and their supports on topological semigroups.
The Structure of the Crossed Product C*-Algebras: A Proof of the Generalized Effros-Hahn Conjecture.
The structure of the Haar systems on locally compact groupoids.
The structure space of the trigonometric polynomials on a compact group.
The support of a function with thin spectrum
We prove that if does not contain parallelepipeds of arbitrarily large dimension then for any open, non-empty there exists a constant c > 0 such that for all whose Fourier transform is supported on E. In particular, such functions cannot vanish on any open, non-empty subset of G. Examples of sets which do not contain parallelepipeds of arbitrarily large dimension include all Λ(p) sets.
The theory of reproducing systems on locally compact abelian groups
A reproducing system is a countable collection of functions such that a general function f can be decomposed as , with some control on the analyzing coefficients . Several such systems have been introduced very successfully in mathematics and its applications. We present a unified viewpoint in the study of reproducing systems on locally compact abelian groups G. This approach gives a novel characterization of the Parseval frame generators for a very general class of reproducing systems on L²(G)....
The topological centre of a compactification of a locally compact group.
The translation invariant uniform approximation property for compact groups
The Type Structure of the Regular Representation of a Locally Compact Group.
The Uncertainty Principle: A Mathematical Survey.
The uniform bounded approximation property with respect to the Haar basis
The Unitary Dual of GI (3, IR) and GI (4, IR).
The universal semilattice compactification of a semigroup.
The use of mixed norms: Two examples
The 𝔳-radial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces
We prove the Paley-Wiener theorem for the Helgason Fourier transform of smooth compactly supported 𝔳-radial functions on a Damek-Ricci space S = NA.
The weak Paley-Wiener property for group extensions.
The weakly almost periodic compactification: Another approach.
The Weyl group as fixed point set of smooth involutions.