Families of spectral sets for Bernoulli convolutions

Details Families of spectral sets for Bernoulli convolutions Families of spectral sets for Bernoulli convolutions

2009-11-12

arxiv.org/abs/0911.2435v2

Journal of Fourier Analysis and Applications, vol. 17 (2011), no. 3, 431-456

Mathematics

Operator Algebras

25 pages, same results

Scientific paper

In this paper, we study the harmonic analysis of Bernoulli measures. We show
a variety of orthonormal Fourier bases for the L^2 Hilbert spaces corresponding
to certain Bernoulli measures, making use of contractive transfer operators.
For other cases, we exhibit maximal Fourier families that are not orthonormal
bases.

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