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Asymptotics on the Diagonal of the Green Function of a Sturm–Liouville Operator and its Applications
Author(s) -
Chernyavskaya N.,
Shuster L.
Publication year - 2000
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610799008297
Subject(s) - sturm–liouville theory , diagonal , operator (biology) , spectrum (functional analysis) , mathematics , function (biology) , mathematical analysis , mathematical physics , pure mathematics , physics , quantum mechanics , geometry , chemistry , boundary value problem , biochemistry , repressor , evolutionary biology , biology , transcription factor , gene
Asymptotics on the diagonal of the Green function and, as a consequence, asymptotic distribution of the spectrum for the semibounded Sturm–Liouville operator are obtained.