Orthogonal polynomials and quadratic transformations.
Orthogonal Polynomials and Regularly Varying Sequences
Orthogonal polynomials and the Lanczos method
Lanczos method for solving a system of linear equations is well known. It is derived from a generalization of the method of moments and one of its main interests is that it provides the exact answer in at most n steps where n is the dimension of the system. Lanczos method can be implemented via several recursive algorithms known as Orthodir, Orthomin, Orthores, Biconjugate gradient,... In this paper, we show that all these procedures can be explained within the framework of formal orthogonal polynomials....
Orthogonal Polynomials, L2-Spaces and Entire Functions.
Orthogonal -polynomials related to perturbed linear form.
Orthogonal Trigonometric Schauder Bases of Optimal Degree for C(K).
Orthogonality Criteria for Compactly Supported Refinable Functions and Refinable Function Vectors.
Orthonormal polynomial vectors and least squares approximation for a discrete inner product.
Oscillating Multipliers for some Eigenfunction Expansions.
Oscillating multipliers on the Heisenberg group
Let ℒ be the sublaplacian on the Heisenberg group Hⁿ. A recent result of Müller and Stein shows that the operator is bounded on for all p satisfying |1/p - 1/2| < 1/(2n). In this paper we show that the same operator is bounded on in the bigger range |1/p - 1/2| < 1/(2n-1) if we consider only functions which are band limited in the central variable.
Oscillations presque-périodiques forcées d'équations d'Euler-Lagrange
Oscillatory and Fourier integral operators with degenerate canonical relations.
We survey results concerning the L2 boundedness of oscillatory and Fourier integral operators and discuss applications. The article does not intend to give a broad overview; it mainly focuses on topics related to the work of the authors.[Proceedings of the 6th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial (Madrid), 2002].
Oscillatory Integrals and Atoms on the Unit sphere.
Oscillatory integrals and multiplier problem for the disc
Oscillatory integrals associated to folding canonical relations
Oscillatory integrals with polynomial phase.
Oscillatory integrals with polynomial phases.
Oscillatory kernels in certain Hardy-type spaces
We consider a convolution operator Tf = p.v. Ω ⁎ f with , where K(x) is an (n,β) kernel near the origin and an (α,β), α ≥ n, kernel away from the origin; h(x) is a real-valued function on . We give a criterion for such an operator to be bounded from the space into itself.
Oscillatory singular integrals on weighted Hardy spaces
Let , where P is a real polynomial on ℝ. It is proved that T is bounded on the weighted H¹(wdx) space with w ∈ A₁.
Osiris wavelets and set wavelets.