Spectral functions of the simplest even order ordinary differential operator

2013/10/02 by Anton A. Lunyov, Lunyov, Anton A. · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #34B40 #47E05 #FOS: Mathematics #Matrix Theory and Algorithms #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1310.0616

openalex publication_date 2013/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the minimal differential operator A generated in L²(0,∞) by the differential expression l(y) = (-1)ⁿ y⁽²ⁿ⁾. Using the technique of boundary triplets and the corresponding Weyl functions, we find explicit form of the characteristic matrix and the corresponding spectral function for the Friedrichs and Krein extensions of the operator A.

Cited by

• Krein extension of a differential operator of even order

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