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JAT
2006
88views more  JAT 2006»
13 years 8 months ago
On the value of the max-norm of the orthogonal projector onto splines with multiple knots
The supremum over all knot sequences of the max-norm of the orthogonal spline projector is studied with respect to the order k of the splines and their smoothness. It is first bou...
Simon Foucart
JAT
2006
74views more  JAT 2006»
13 years 8 months ago
An equivalence for the Riemann Hypothesis in terms of orthogonal polynomials
We construct a measure such that if {pn(z)} is the sequence of orthogonal polynomials relative to that measure, then the Riemann Hypothesis with simple zeros is true if and only if...
David A. Cardon, Sharleen A. Roberts
JAT
2006
77views more  JAT 2006»
13 years 8 months ago
On extensions of a theorem of Baxter
We combine the Riemann-Hilbert approach with the techniques of Banach algebras to obtain an extension of Baxter's Theorem for polynomials orthogonal on the unit circle. This ...
Jeffrey S. Geronimo, Andrei Martínez-Finkel...
JAT
2006
73views more  JAT 2006»
13 years 8 months ago
Factorization of multivariate positive Laurent polynomials
Abstract. Recently M. Dritschel proved that any positive multivariate Laurent polynomial can be factorized into a sum of square magnitudes of polynomials. We first give another pro...
Jeffrey S. Geronimo, Ming-Jun Lai
JAT
2006
64views more  JAT 2006»
13 years 8 months ago
A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert
A new iterative method for finding the projection onto the intersection of two closed convex sets in a Hilbert space is presented. It is a Haugazeau-like modification of a recentl...
Heinz H. Bauschke, Patrick L. Combettes, D. Russel...