The A-model with mutually equal model parameters can lead to a Hilbert\n space model

2020/08/18 by Rytis Juršėnas, Jursenas, Rytis
Computer Science · Mathematics · #35P05 #47A56 #47B25 #47B50 #Advanced Differential Equations and Dynamical Systems #Differential Equations and Numerical Methods #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Numerical methods for differential equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2008.07780

openalex publication_date 2020/08/18 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

It is known that the A-model for higher order singular perturbations can be\nconsidered as a Hilbert space model if the model parameters are mutually\ndistinct, and that it is necessarily a Pontryagin space model if otherwise. In\nthis note we demonstrate that the A-model with mutually equal model parameters\ncan nonetheless lead to a Hilbert space model if the extensions in the model\nspace are instead described by suitable linear relations.\n

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