Time-frequency representations : wavelet packets and optimal decomposition
Toeplitz Arrays, Linear Sequence Transformations and Orthogonal Polynomials.
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.
Traces of Oscillating Functions.
Tractable embeddings of Besov spaces into Zygmund spaces
The paper deals with dimension-controllable (tractable) embeddings of Besov spaces on n-dimensional cubes into Zygmund spaces. This can be expressed in terms of tractability envelopes.
Transformadas de Fourier de distribuciones homogeneas
Transformée en paquets d'ondelettes des signaux stationnaires: comportement asymptotique des densités spectrales.
We consider quadrature mirror filters, and the associated wavelet packet transform. Let X = {Xn}n∈Z be a stationary signal which has a continuous spectral density f. We prove that the 2n signals obtained from X by n iterations of the transform converge to white noises when n → +∞. If f is holderian, the convergence rate is exponential.
Transition from the dyadic to the real nonperiodic Hardy space.
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...
Transplantation operators and Cesàro operators for the Hankel transform
The transplantation operators for the Hankel transform are considered. We prove that the transplantation operator maps an integrable function under certain conditions to an integrable function. As an application, we obtain the L¹-boundedness and H¹-boundedness of Cesàro operators for the Hankel transform.
Transplanting Maximal Inequalities Between Laguerre and Hankel Multipliers.
Tree martingales and a.e. convergence of Vilenkin-Fourier series.
Triangulations of closed sets and bases in function spaces.
Triebel-Lizorkin spaces for Hermite expansions
This paper develops some Littlewood-Paley theory for Hermite expansions. The main result is that certain analogues of Triebel-Lizorkin spaces are well-defined in the context of Hermite expansions.
Two-dimensional Legendre wavelets and operational matrices of integration.
Two-dimensional Sunouchi operator with respect to Vilenkin-like systems.
Two-microlocal Besov spaces and wavelets
Two-parameter Hardy-Littlewood inequality and its variants
Let s* denote the maximal function associated with the rectangular partial sums of a given double function series with coefficients . The following generalized Hardy-Littlewood inequality is investigated: , where ξ̅=max(ξ,1), 0 < p < ∞, and μ is a suitable positive Borel measure. We give sufficient conditions on and μ under which the above Hardy-Littlewood inequality holds. Several variants of this inequality are also examined. As a consequence, the ||·||p,μ-convergence property of ...
Two-parameter multipliers on hardy spaces
Über das Lokalisierungsprinzip bei mehrdimensionalen Shannonschen und konjugierten Shannonschen Abtastreihen