Multilevel Toeplitz Sequences
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.