Functions with support in a lacunary system of intervals and cyclicity for the semi-group of left translations

Details Functions with support in a lacunary system of intervals and cyclicity for the semi-group of left translations Functions with support in a lacunary system of intervals and cyclicity for the semi-group of left translations

2007-12-03

arxiv.org/abs/0712.0372v2

Mathematics

Spectral Theory

Scientific paper

We prove in the vector-valued spaces $L^2(\mathbb{R}_+, X)$ (where $X$ is a
finite dimensional Hilbert space) the cyclicity for the semi-group of left
translations of some particular functions with support included in a lacunary
system of intervals.

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