Multipliers of Lipschitz Spaces on Zero Dimensional Groups.
On (C,1) summability for Vilenkin-like systems
We give a common generalization of the Walsh system, Vilenkin system, the character system of the group of 2-adic (m-adic) integers, the product system of normalized coordinate functions for continuous irreducible unitary representations of the coordinate groups of noncommutative Vilenkin groups, the UDMD product systems (defined by F. Schipp) and some other systems. We prove that for integrable functions σₙf → f (n → ∞) a.e., where σₙf is the nth (C,1) mean of f. (For the character system of the...
On the characterization of Hardy-Besov spaces on the dyadic group and its applications
C. Watari [12] obtained a simple characterization of Lipschitz classes on the dyadic group using the -modulus of continuity and the best approximation by Walsh polynomials. Onneweer and Weiyi [4] characterized homogeneous Besov spaces on locally compact Vilenkin groups, but there are still some gaps to be filled up. Our purpose is to give the characterization of Besov spaces by oscillations, atoms and others on the dyadic groups. As applications, we show a strong capacity inequality of the...
On the Charshiladze-Lozinski Theorem for Compact Topological Groups and Homogeneous Spaces.
On the Sets of Type VV++
Projections of Orbits and Asymptotic Behavior of Multiplicities for Compact Connected Lie Groups.
Propriétés asymptotiques des vibrations des tores
Pseudodifferential Operators on SU(2).
Rearrangement of coefficients of Fourier series on
Recent developments in the theory of Walsh series.
Representation of product systems on the interval .
Représentations linéaires -adiques des groupes compacts totalement discontinus
Separable translation-invariant subspaces of M(G) and other dual spaces on locally compact groups
Sets of uniform convergence
Stability results for scattered data interpolation on the rotation group.
Strong convergence theorems for two-parameter Walsh-Fourier and trigonometric-Fourier series
The martingale Hardy space and the classical Hardy space are introduced. We prove that certain means of the partial sums of the two-parameter Walsh-Fourier and trigonometric-Fourier series are uniformly bounded operators from to (0 < p ≤ 1). As a consequence we obtain strong convergence theorems for the partial sums. The classical Hardy-Littlewood inequality is extended to two-parameter Walsh-Fourier and trigonometric-Fourier coefficients. The dual inequalities are also verified and a...
Summability and integrability of Vilenkin series.
The distribution of energy in the Brownian motion in the Gaussian field and analytic-hypoellipticity of certain subelliptic operators on the Heisenberg group
The Maximal (C, ...) Operator of Two-Parameter Walsh-Fourier Series.
Translation invariant operators on Hardy spaces over Vilenkin groups.