Titlebook: Differential and Integral Operators; International Worksh I. Gohberg,R. Mennicken,C. Tretter Conference proceedings 1998 Springer Basel AG

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https://doi.org/10.1007/978-3-319-15741-2The generalized factorization of some classes of 2 ß 2 matrix symbols is determined by reduction to the study of certain scalar non-linear Riemann-Hilbert problems. This method is applied to several types of matrix functions, whose factorization is explicitly obtained.

Anthem

https://doi.org/10.1007/978-3-030-24124-7For two different examples of positive definitizable operators in Krein spaces we prove regularity of the critical points 0 and ∞. The first example is the Sturm-Liouville operator in ..(ℝ,ρ) with ρ(.) = 007C;x007C;.sgn x. The second example is a difference operator in a Krein space of complex sequences.

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C++ Templates for MicrocontrollersLet . be the integration operator defined on ..[0,1], let .., α > 0, be its positive powers, and let . be a nonsingular . ß . diagonal matrix. The lattices of invariant and hyperinvariant subspaces of the Volterra operator .. ⊗ . defined on ..[0,1] ⊗ ℂ. are described in geometric terms

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C++ Templates for MicrocontrollersWe discuss properties of Wiener-Hopf factorization of singular matrix functions relative to a rectifiable contour.

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https://doi.org/10.1007/978-3-662-62996-3Elliptic boundary value problems for general elliptic systems are studied in complete scales of Banach type in the case where the boundary conditions contain both the function from the systems, and the additional functions, defined at the boundary of the domain.

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Nonsingularity of critical points of some differential and difference operators,For two different examples of positive definitizable operators in Krein spaces we prove regularity of the critical points 0 and ∞. The first example is the Sturm-Liouville operator in ..(ℝ,ρ) with ρ(.) = 007C;x007C;.sgn x. The second example is a difference operator in a Krein space of complex sequences.

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