Multi-orbital frames through model spaces

CABRELLI, CARLOS A.; MOLTER, URSULA M.; SUAREZ, DANIEL F.

COMPLEX ANALYSIS AND OPERATOR THEORY

BIRKHAUSER VERLAG AG

Lugar: BASEL; Año: 2021 vol. 15

1661-8254

We characterize the normal operators A on ℓ_2 and the elements 𝑎_𝑖∈ℓ_2, with 1≤𝑖≤𝑚, such that the sequence{𝐴^𝑛𝑎_1,?,𝐴^𝑛𝑎_𝑚}𝑛≥0is a frame. The characterization makes strong use of the pseudo-hyperbolic metric of 𝔻 and is given in terms of the backward shift invariant subspaces of 𝐻2(𝔻) associated to finite products of interpolating Blaschke products.