On the Titchmarsh‐Weyl Coefficients for Singular  S ‐Hermitian Systems I | Zendy

Hinton D. B. | Zendy; Schneider A. | Zendy

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On the Titchmarsh‐Weyl Coefficients for Singular S ‐Hermitian Systems I

Author(s) -

Hinton D. B.,

Schneider A.

Publication year - 1993

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19931630127

Subject(s) - mathematics , hermitian matrix , hilbert space , self adjoint operator , resolvent , singular value , operator (biology) , mathematical analysis , boundary value problem , boundary (topology) , pure mathematics , eigenvalues and eigenvectors , biochemistry , physics , chemistry , repressor , quantum mechanics , transcription factor , gene

Singular S ‐Hermitian systems are studied with the goal of defining a Titchmarsh‐Weyl M (λ)‐coefficient directly in terms of separated, selfadjoint boundary conditions. A general deficiency index is allowed. The resolvent operator is constructed and a self‐adjoint operator A is constructed in the Hilbert space which gives an equivalent description of the singular S ‐Hermitian boundary value problem.

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