Krein extension of a differential operator of even order

2017/07/20 by Yaroslav Granovskyi, Granovskyi, Yaroslav, Л. Л. Оридорога +1
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in engineering #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1707.06707

openalex publication_date 2017/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the Krein extension of minimal operator associated with the expression A:=(-1)ⁿ*d^(2n)/dx^(2n) on a finite interval (a,b) in terms of boundary conditions. All non-negative extensions of the operator A as well as extensions with a finite number of negative squares are described.

Citations

• Spectral functions of the simplest even order ordinary differential operator

Related

• The Krein-von Neumann Extension of a Regular Even Order Quasi-Differential Operator
• Spectral functions of the simplest even order ordinary differential operator
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• Some Remarks On Krein--von Neumann Extensions