Hausdorff-Maße von Summenmengen. II:
Heat kernel transform for nilmanifolds associated to the Heisenberg group.
Helical maps from LCA-groups into Hilbert spaces.
Hellinger-Hahn type decompositions of the domain of Borel function
Helson sets and simultaneous extensions to Fourier transforms
Henkin measures, Riesz products and singular sets
The mutual singularity problem for measures with restrictions on the spectrum is studied. The -pluriharmonic Riesz product construction on the complex sphere is introduced. Singular pluriharmonic measures supported by sets of maximal Hausdorff dimension are obtained.
Herz-type Besov spaces on locally compact Vilenkin groups.
Hewitt-Zuckermann Semigroups in the Structure Semigroups of Measure Algebras.
High order representation formulas and embedding theorems on stratified groups and generalizations
We derive various integral representation formulas for a function minus a polynomial in terms of vector field gradients of the function of appropriately high order. Our results hold in the general setting of metric spaces, including those associated with Carnot-Carathéodory vector fields, under the assumption that a suitable to Poincaré inequality holds. Of particular interest are the representation formulas in Euclidean space and stratified groups, where polynomials exist and to Poincaré...
Higher order Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator
The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstein-Uhlenbeck operator considered by A. Nowak, L. Roncal and K. Stempak to higher order.
Hilbert C*-modules from group actions: beyond the finite orbits case
Continuous actions of topological groups on compact Hausdorff spaces X are investigated which induce almost periodic functions in the corresponding commutative C*-algebra. The unique invariant mean on the group resulting from averaging allows one to derive a C*-valued inner product and a Hilbert C*-module which serve as an environment to describe characteristics of the group action. For Lyapunov stable actions the derived invariant mean is continuous on X for any ϕ ∈ C(X), and the induced C*-valued...
Holomorphic functions and subelliptic heat kernels over Lie groups
Holomorphic representation theory. I.
Homeomorphisms acting on Besov and Triebel-Lizorkin spaces of local regularity ψ(t).
The aim of this paper is to show that the integral and derivative operators defined by local regularities are homeomorphisms for generalized Besov and Triebel-Lizorkin spaces with local regularities. The underlying geometry is that of homogeneous type spaces and the functions defining local regularities belong to a larger class of growth functions than the potentials tα, related to classical fractional integral and derivative operators and Besov and Triebel-Lizorkin spaces.
Homogeneity, non-smooth atoms and Besov spaces of generalised smoothness on quasi-metric spaces [Book]
Homogeneous algebras on the circle. II. Multipliers, Ditkin conditions
This paper considers the Lipschitz subalgebras of a homogeneous algebra on the circle. Interpolation space theory is used to derive estimates for the multiplier norm on closed primary ideals in , . From these estimates the Ditkin and Analytic Ditkin conditions for follow easily. Thus the well-known theory of (regular) Banach algebras satisfying the Ditkin condition applies to as does the theory developed in part I of this series which requires the Analytic Ditkin condition.Examples are discussed...
Homogeneous Besov spaces on locally compact Vilenkin groups
Homogeneous cones and Abelian theorems.
Homogeneous spaces of compact connected Lie groups which admit nontrivial invariant algebras.
Homogenous distributions on spaces of Hermitean matrices.