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The spectral analysis of a system of first‐order equations with dissipative boundary conditions
Author(s) -
Uğurlu Ekin
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7467
Subject(s) - mathematics , dissipative system , dissipative operator , completeness (order theory) , boundary value problem , operator (biology) , dilation (metric space) , mathematical analysis , combinatorics , physics , quantum mechanics , transcription factor , gene , biochemistry , chemistry , repressor
This paper aims to share some completeness theorems related with a boundary value problem generated by a system of equations and non‐self‐adjoint (dissipative) boundary conditions. Indeed, we consider a system of equations that contains a continuous analogous of the orthogonal polynomials on the unit circle. Constructing the characteristic function of the related dissipative operator, we share some completeness theorems. Moreover, we give an explicit form of the self‐adjoint dilation of the dissipative operator.