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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.