On a general moment problem on the half axis

DOI10.1016/S0024-3795(95)00786-5zbMath0873.44004MaRDI QIDQ677801

Vladimir Bolotnikov

Publication date: 4 November 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

matrix equationsintegral representationsStieltjes moment problemnonnegative measuresstructured positive matrices

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Matrix equations and identities (15A24) Moment problems (44A60)

Related Items (11)

On the Carathéodory-Fejér Interpolation Problem for Stieltjes Functions ⋮ Degenerate Stieltjes moment problem and associated \(J\)-inner polynomials ⋮ On truncated matricial Stieltjes type moment problems ⋮ Spectral measure of empirical autocovariance matrices of high-dimensional Gaussian stationary processes ⋮ Transformations of matricial \({\alpha}\)-Stieltjes non-negative definite sequences ⋮ A unified treatment for the matrix Stieltjes moment problem. ⋮ On an operator approach to interpolation problems for Stieltjes functions ⋮ 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 ⋮ Deterministic equivalents for certain functionals of large random matrices ⋮ 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

• On hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy
• Interpolation of rational matrix functions
• On a general moment problem and certain matrix equations
• The two-sided residue interpolation in the Stieltjes class of matrix functions
• Degenerate Stieltjes moment problem and associated \(J\)-inner polynomials
• 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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