Matrix Riesz products

0Citations
Citations of this article
1Readers
Mendeley users who have this article in their library.
Get full text

Abstract

Turning back to the correlation matrix ∑ = (σ αβ) associated, in the previous chapter, with the primitive and aperiodic substitution ζ of length q, we shall prove that ∑ is the weak-star limit point of a product of matrices whose entries are trigonometric polynomials, in a way similar to the case of generalized Riesz products. This provides us with a constructive process to explicit ∑ for special substitutions, such as commutative ones (Thue-Morse) but also for the Rudin-Shapiro substitution, and therefore, we will be able to deduce their maximal spectral type. © 2010 Springer-Verlag Berlin Heidelberg.

Cite

CITATION STYLE

APA

Queffélec, M. (2010). Matrix Riesz products. Lecture Notes in Mathematics, 1294, 209–224. https://doi.org/10.1007/978-3-642-11212-6_8

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free