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 ...

In this paper the positive and strictly contractive extension problems for almost periodic matrix functions are treated. We present necessary and sufficient conditions for the existence of extensions ...

Random walks serve as fundamental models in the study of stochastic processes, simulating phenomena ranging from molecular diffusion to queuing networks and financial systems. Their inherent ...