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  • 1985-1989  (3)
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Material
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Year
  • 1
    Electronic Resource
    Electronic Resource
    Hilbert spaces of analytic functions, inverse scattering and operator models.II (1985)
    Springer
    Integral equations and operator theory 8 (1985), S. 145-180 
    Details
    ISSN: 1420-8989
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This is the second and final part of a paper which appeared in a preceding issue of this journal. Herein the methods developed in the earlier sections of this paper are used first, in conjunction with some ideas of Krein, to develop models for simple, closed symmetric [resp. isometric]operators with finite and equal deficiency indices. A number of other related issues and applications are then discussed briefly. These include entropy inequalities, interpolation, parametrization ofJ inner matrices, the Schur algorithm and canonical equations. Finally, a list of misprints for Part I is incorporated at the end.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01202812
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On Hermitian block Hankel matrices, matrix polynomials, the Hamburger moment problem, interpolation and maximum entropy (1989)
    Springer
    Integral equations and operator theory 12 (1989), S. 757-812 
    Details
    ISSN: 1420-8989
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Reproducing kernel space methods are used to study the truncated matrix Hamburger moment problem on the line, an associated interpolation problem and the maximum entropy solution. Enroute a number of formulas are developed for orthogonal matrix polynomials associated with a block Hankel matrix (based on the specified matrix moments for the Hamburger problem) under less restrictive conditions than positive definiteness. An analogue of a recent formula of Alpay-Gohberg and Gohberg-Lerer for the number of roots of certain associated matrix polynomials is also established.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01196878
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    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    On a Szegö formula for a class of generalized Toeplitz kernels (1985)
    Springer
    Integral equations and operator theory 8 (1985), S. 427-431 
    Details
    ISSN: 1420-8989
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper a strong Szegö limit formula is established for a class of generalized Toeplitz kernels. The proof rests largely upon a factorization identity which serves to reduce the problem to a form which is amenable to the analysis developed earlier for pair operators.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01202906
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    Paper (German National Licenses)
    Fulltext
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