Denote by 𝒲₁ the set of complex valued functions of the form a(z)=∑i=−∞+∞aizi such that ∑i=−∞+∞|iai|<∞. We call 𝖰𝖳-matrix a quasi-Toeplitz matrix 𝐴, associated with a symbol 𝑎(𝑧) ∈ 𝒲₁, of the ...
The results on the inversion of convolution operators as well as Toeplitz (and block Toeplitz) matrices in the 1-D (one-dimensional) case are classical and have numerous applications. We consider the ...