Degenerate Stieltjes moment problem and associated \(J\)-inner polynomials

DOI10.4171/ZAA/633zbMath0828.47012MaRDI QIDQ1898770

Vladimir Bolotnikov

Publication date: 14 December 1995

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

linear fractional transformationinformation matrices\(J\)-expansive matrix functionsfundamental matrix inequality methodtruncated Stieltjes matrix moment problem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (12)

The matricial subnormal completion problem ⋮ On a solution of the multidimensional truncated matrix-valued moment problem ⋮ On truncated matricial Stieltjes type moment problems ⋮ On the quasi-stability criteria of monic matrix polynomials ⋮ On generalization of classical Hurwitz stability criteria for matrix polynomials ⋮ Transformations of matricial \({\alpha}\)-Stieltjes non-negative definite sequences ⋮ A unified treatment for the matrix Stieltjes moment problem. ⋮ On resolvent matrix, Dyukarev-Stieltjes parameters and orthogonal matrix polynomials via \([0, \infty)\)-Stieltjes transformed sequences ⋮ A Potapov-Type Approach to a Truncated Matricial Stieltjes-Type Power Moment Problem ⋮ On a general moment problem on the half axis ⋮ On a simultaneous approach to the even and odd truncated matricial Stieltjes moment problem II: an \(\alpha\)-Schur-Stieltjes-type algorithm for sequences of holomorphic matrix-valued functions ⋮ On a simultaneous approach to the even and odd truncated matricial Stieltjes moment problem I: an \(\alpha\)-Schur-Stieltjes-type algorithm for sequences of complex matrices

Cites Work

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• On a general moment problem on the half axis
• On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy
• The two-sided residue interpolation in the Stieltjes class of matrix functions
• On degenerate Hamburger moment problem and extensions of nonnegative Hankel block matrices
• ANALYTIC THEORY OF A CLASS OF INTERPOLATION PROBLEMS
• Multiplicative and additive classes of Stieltjes analytic matrix-valued functions, and interpolation problems associated with them. I
• Continuous analogues of the Hamburger-Nevanlinna theorem and fundamental matrix inequalities of classical problems. III
• J-EXPANDING MATRIX FUNCTIONS AND THEIR ROLE IN THE ANALYTICAL THEORY OF ELECTRICAL CIRCUITS

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