Abstract
This chapter is devoted to multilevel Toeplitz matrices. More precisely, we focus on the sequences of multilevel Toeplitz matrices generated by a multivariate \(L^1\) function. These sequences, together with the sequences of multilevel diagonal sampling matrices (to be introduced afterwards) and the zero-distributed sequences (already studied in Sect. 2.6.3), should be regarded as the“building blocks” of the theory of multilevel GLT sequences.
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Garoni, C., Serra-Capizzano, S. (2018). Multilevel Toeplitz Sequences. In: Generalized Locally Toeplitz Sequences: Theory and Applications. Springer, Cham. https://doi.org/10.1007/978-3-030-02233-4_3
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DOI: https://doi.org/10.1007/978-3-030-02233-4_3
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-02232-7
Online ISBN: 978-3-030-02233-4
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