Backward adaptive biorthogonalization.
Banach algebras of pseudodifferential operators and their almost diagonalization
We define new symbol classes for pseudodifferential operators and investigate their pseudodifferential calculus. The symbol classes are parametrized by commutative convolution algebras. To every solid convolution algebra over a lattice we associate a symbol class . Then every operator with a symbol in is almost diagonal with respect to special wave packets (coherent states or Gabor frames), and the rate of almost diagonalization is described precisely by the underlying convolution algebra...
Base d'ondelettes sur les groupes de Lie stratifiés
Bases d'ondelettes sur les courbes corde-arc, noyau de Cauchy et spaces de Hardy associés.
Se construyen dos bases incondicionales de L2(R) adaptadas al estudio de la integral de Cauchy sobre una curva cuerda-arco, y se extiende la construcción a L2(Rd). Esto permite obtener una prueba simple del "Teorema T(b)" de G. David, J.L. Journé u S. Semmes. Se define un espacio de Hardy ponderado Hb1(Rd) caracterizado por las bases anteriores. Finalmente se aplican estos métodos al estudio del potencial de doble capa sobre una superficie lipschitziana.
Bases orthonormées de paquets d'ondelettes.
Basis properties of some systems of exponential functions, cosines, and sines.
BCR algorithm and the T(b) Theorem.
Besov characteristic of a distribution.
Bessel generalized translations and some problems of approximation theory for functions on the half-line.
Best approximation by Vilenkin-like systems.
Beurling-Landau-Type Theorems for Non-Uniform Sampling in Shift Invariant Spline Spaces.
Bilateral generating functions for a new class of generalized Legendre polynomials.
BIlinear Operators with Non-Smooth Symbol, I.
Bi-Lipschitz decomposition of Lipschitz functions into a metric space.
Biorthogonal multiresolution analyses and decompositions of Sobolev spaces.
Biorthogonal Smooth Local Trigonometric Bases.
Biorthogonal Wavelets in H...(...).
Biorthogonal wavelets, MRA's and shift-invariant spaces
We give a characterization of biorthogonal wavelets arising from MRA's of multiplicity D entirely in terms of the dimension function. This improves the previous characterization in [8] removing an unnecessary angle condition. Besides we characterize Riesz wavelets arising from MRA's, and present new proofs based on shift-invariant space theory, generalizing the 1-dimensional results appearing in [17].
Biorthogonalité et théorie des opérateurs.
BMO and commutators of martingale transforms
The commutator of multiplication by a function and a martingale transform of a certain type is a bounded operator on , , if and only if the function belongs to BMO. This is a martingale version of a result by Coifman, Rochberg and Weiss.