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Carleman matrix

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A Carleman matrix is a specific type of matrix used in the mathematical fields of functional analysis, operator theory, and the study of integral equations. It is associated with the analysis of sequences or power series and plays a significant role in studying discrete dynamical systems, difference equations, and the characterization of functions. ### Definition To construct a Carleman matrix, consider a sequence of coefficients \(a_n\), typically derived from a power series or a polynomial.

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