@inbook{1734ea118f214aa1a24eb75cb2b2ec7e,

title = "Spectral measures",

abstract = "The theory of spectral symbols links sequences of matrices with measurable functions expressing their asymptotic eigenvalue distributions. Usually, a sequence admits several spectral symbols, and it is not clear if a canonical one exists. Here we present a way to connect the sequences with the space of probability measure, so that each sequence admits a uniquely determined measure. The methods used are similar to those employed in the theory of generalized locally Toeplitz (GLT) sequences: a goal of this present contribution is in fact that of explaining how the two concepts are connected.",

keywords = "Complete pseudo-metrics, Ergodic formula, Generalized locally toeplitz sequences, Probability measures",

author = "Giovanni Barbarino",

note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.",

year = "2019",

doi = "10.1007/978-3-030-04088-8_1",

language = "English",

isbn = "978-3-030-04087-1",

series = "Springer INdAM Series",

publisher = "Springer",

pages = "1--24",

booktitle = "Structured Matrices in Numerical Linear Algebra",

}