Transformationsgruppen mit affinen Bahnen.
Transforms for Operators and Symplectic Automorphisms over a Locally Compact Abelian Group.
Transforms vanishing at infinity in a certain direction and semi-idempotent measures.
Transition operators on co-compact G-spaces.
We develop methods for studying transition operators on metric spaces that are invariant under a co-compact group which acts properly. A basic requirement is a decomposition of such operators with respect to the group orbits. We then introduce reduced transition operators on the compact factor space whose norms and spectral radii are upper bounds for the Lp-norms and spectral radii of the original operator. If the group is amenable then the spectral radii of the original and reduced operators coincide,...
Translation and power independence for Bernoulli convolutions
Translation invariant complemented subspaces of
Translation invariant forms on
It is shown that if is a connected metrizable compact Abelian group and , any (possibly discontinuous) translation invariant linear form on is a scalar multiple of the Haar measure. This result extends the theorem of G.H. Meisters and W.M. Schmidt (J. Funct. Anal. 13 (1972), 407-424) on . Our method permits in fact to consider any superreflexive translation invariant Banach lattice on , which is the adopted point of view. We study the representation of an element of this invariant lattice...
Translation invariant operators on Hardy spaces over Vilenkin groups.
Translation invariant subspaces of
Translational averaging for completeness, characterization and oversampling of wavelets.
The single underlying method of averaging the wavelet functional over translates yields first a new completeness criterion for orthonormal wavelet systems, and then a unified treatment of known results on characterization of wavelets on the Fourier transform side, on preservation of frame bounds by oversampling, and on equivalence of affine and quasiaffine frames. The method applies to multiwavelet systems in all dimensions, to dilation matrices that are in some cases not expanding, and to dual...
Translation-invariant function algebras on abelian groups
Translation-Invariant Linear Forms on D(G).
Translations mesurables et ensembles de Rosenthal
Transport optimal de mesure dans le groupe de Heisenberg
Tree martingales and a.e. convergence of Vilenkin-Fourier series.
Treillis d'ondelettes associés aux groupes de Lorentz
Triebel-Lizorkin spaces with non-doubling measures
Suppose that μ is a Radon measure on , which may be non-doubling. The only condition assumed on μ is a growth condition, namely, there is a constant C₀ > 0 such that for all x ∈ supp(μ) and r > 0, μ(B(x,r)) ≤ C₀rⁿ, where 0 < n ≤ d. The authors provide a theory of Triebel-Lizorkin spaces for 1 < p < ∞, 1 ≤ q ≤ ∞ and |s| < θ, where θ > 0 is a real number which depends on the non-doubling measure μ, C₀, n and d. The method does not use the vector-valued maximal function inequality...
Trigonometric sums associated with pseudo-measures
Twisted convolutions with Calderón-Zygmund kernels.
Twisted spherical means in annular regions in and support theorems
Let be the class of all continuous functions on the annulus in with twisted spherical mean whenever and satisfy the condition that the sphere and ball In this paper, we give a characterization for functions in in terms of their spherical harmonic coefficients. We also prove support theorems for the twisted spherical means in which improve some of the earlier results.