Multilevel Toeplitz Sequences

  • Carlo GaroniEmail author
  • Stefano Serra-Capizzano


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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© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of Science and High TechnologyUniversity of InsubriaComoItaly

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