Spectral functions of the simplest even order ordinary differential operator

Abstract

We consider the minimal differential operator A generated in $L^2(0,\infty )$ 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.

7 pages, 8 references, to be published in "Methods of Functional Analysis and Topology"

Cited by in corpus (2)

• Krein extension of a differential operator of even order
• The Krein-von Neumann Extension of a Regular Even Order Quasi-Differential Operator