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Two-dimensional moment problem and Schur algorithm (2404.03342v1)
Published 4 Apr 2024 in math.FA, cs.NA, and math.NA
Abstract: We study a truncated two-dimensional moment problem in terms of the Stieltjes transform. The set of the solutions is described by the Schur step-by-step algorithm, which is based on the continued fraction expansion of the solution. In particular, the obtained results are applicable to the two-dimensional moment problem for atomic measures.