Padé and Hermite-Padé approximation and orthogonality.
Parabolic potentials and wavelet transforms with the generalized translation
Parabolic wavelet transforms associated with the singular heat operators and , where , are introduced. These transforms are defined in terms of the relevant generalized translation operator. An analogue of the Calderón reproducing formula is established. New inversion formulas are obtained for generalized parabolic potentials representing negative powers of the singular heat operators.
Partial sums of Fourier series
Partial Sums of Orthonormal Bases Preserving Positivity - and Martingales.
Permutations which avoid 1243 and 2143, continued fractions, and Chebyshev polynomials.
Piecewise Linear Wavelets on Sierpinski Gasket Type Fractals.
Pointwise analysis of Riemann's "nondifferentiable" function.
Pointwise convergence for expansions in surface harmonics of arbitrary dimension.
Pointwise Fourier inversion of distributions on spheres
Given a distribution on the sphere we define, in analogy to the work of Łojasiewicz, the value of at a point of the sphere and we show that if has the value at , then the Fourier-Laplace series of at is Abel-summable to .
Pointwise smoothness, two-microlocalization and wavelet coefficients.
In this paper we shall compare three notions of pointwise smoothness: the usual definition, J.M. Bony's two-microlocal spaces Cx0s,s', and the corresponding definition on the wavelet coefficients. The purpose is mainly to show that these two-microlocal spaces provide "good substitutes" for the pointwise Hölder regularity condition; they can be very precisely compared with this condition, they have more functional properties, and can be characterized by conditions on the wavelet coefficients. We...
Poisson Summation, the Ambiguity Function, and the Theory of Weyl-Heisenberg Frames.
Polar wavelets and associated Littlewood-Paley theory [Book]
Polinomios ortogonales sobre la circunferencia unidad. Los casos C y D.
Polynomial approximation and twenty years later.
Polynomial approximation to integral transforms
Polynomial sequences generated by infinite Hessenberg matrices
We show that an infinite lower Hessenberg matrix generates polynomial sequences that correspond to the rows of infinite lower triangular invertible matrices. Orthogonal polynomial sequences are obtained when the Hessenberg matrix is tridiagonal. We study properties of the polynomial sequences and their corresponding matrices which are related to recurrence relations, companion matrices, matrix similarity, construction algorithms, and generating functions. When the Hessenberg matrix is also Toeplitz...
Positivity of Cotes Numbers at More Jacobi Abscissas.
Principe d'incertitude, bases hilbertiennes et algèbres d'opérateurs
Projecteurs invariants, matrices de dilatation, ondelettes et analyses multi-résolutions.
We show that (bi-orthogonal) wavelet bases associated to a dilation matrix which is compatible with integer shifts are generally provided by a multi-resolution analysis. The proof is done by studying the projectors which commute with integer shifts.
Properties of bounded orthonormal spline bases