Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups, II.
Metric unconditionality and Fourier analysis
We investigate several aspects of almost 1-unconditionality. We characterize the metric unconditional approximation property (umap) in terms of “block unconditionality”. Then we focus on translation invariant subspaces and of functions on the circle and express block unconditionality as arithmetical conditions on E. Our work shows that the spaces , p an even integer, have a singular behaviour from the almost isometric point of view: property (umap) does not interpolate between and . These...
Minimal and distal functions on semidirect products of groups
Multipliers for a Distinguished Laplacean on Solvable Extensions of H-Type Groups.
Multipliers of , II
Multipliers of some Banach ideals and Wiener-Ditkin sets
Multipliers on p-Fourier algebras
Multipliers on weighted Hardy spaces over locally compact Vilenkin groups, II
Multiresolution analysis and Radon measures on a locally compact Abelian group
A multiresolution analysis is defined in a class of locally compact abelian groups . It is shown that the spaces of integrable functions and the complex Radon measures admit a simple characterization in terms of this multiresolution analysis.