Thickness in topological transformation semigroups.
Thin sets defined by a sequence of continuous functions
Thin sets in nonlinear potential theory
Let , denote the space of Bessel potentials , , with norm . For integer can be identified with the Sobolev space .One can associate a potential theory to these spaces much in the same way as classical potential theory is associated to the space , and a considerable part of the theory was carried over to this more general context around 1970. There were difficulties extending the theory of thin sets, however. By means of a new inequality, which characterizes the positive cone in the space...
Thin sets in trigonometrical series and quasinormal convergence
Three results in Dunkl analysis
We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.
Three results on I-sets
Three-dimensional reconstruction from projections
Computerized tomograhphy is a technique for computation and visualization of density (i.e. X- or -ray absorption coefficients) distribution over a cross-sectional anatomic plane from a set of projections. Three-dimensional reconstruction may be obtained by using a system of parallel planes. For the reconstruction of the transverse section it is necessary to choose an appropriate method taking into account the geometry of the data collection, the noise in projection data, the amount of data, the...
Time Dependent Perturbations and Scattering of Strongly Continuous Groups on Banach Spaces.
Topics on Kronecker sets
We obtain three theorems about transformation of sets of multiplicity onto Kronecker sets, by means of functions of various differentiability classes. The same method yields an improved theorem on the union of two Kronecker sets.
Topological and geometrical properties of mappings with summable Jacobian in Sobolev classes. I.
Topological Dichotomy and Unconditional Convergence
In this paper, we give a criterion for unconditional convergence with respect to some summability methods, dealing with the topological size of the set of choices of sign providing convergence. We obtain similar results for boundedness. In particular, quasi-sure unconditional convergence implies unconditional convergence.
Topological Frobenius properties for nilpotent groups.
Topologically Invariant Linear Forms on Spaces of Abstract Distributions on a Locally Compact Abelian Group.
Topologies on the graph of the equivalence relation associated to a groupoid.
Topologische Gruppen mit endlichen Klassen konjugierter Elemente.
Transference for hypergroups.
A transference theorem for convolution operators is proved for certain families of one-dimensional hypergroups.
Transference theory onHardy and Sobolev spaces
We show that the transference method of Coifman and Weiss can be extended to Hardy and Sobolev spaces. As an application we obtain the de Leeuw restriction theorems for multipliers.
Transferring eigenfunction bounds from to hⁿ
By using the notion of contraction of Lie groups, we transfer estimates for joint spectral projectors from the unit complex sphere in to the reduced Heisenberg group hⁿ. In particular, we deduce some estimates recently obtained by H. Koch and F. Ricci on hⁿ. As a consequence, we prove, in the spirit of Sogge’s work, a discrete restriction theorem for the sub-Laplacian L on hⁿ.
Transferring multipliers
By combining some results of C. S. Herz on the Fourier algebra with the notion of contractions of Lie groups, we prove theorems which allow transference of multipliers either from the Lie algebra or from the Cartan motion group associated to a compact Lie group to the group itself.
Transformation de Cauchy p-adique et algèbre d'Iwasawa.