Spectral functions of the simplest even order ordinary differential operator. (English) Zbl 1313.47095

Lunyov, Anton

Methods Funct. Anal. Topol. 19, No. 4, 319-326 (2013).

Let \(A\) be the minimal operator generated in \(L^2(0,\infty )\) by the differential expression \((-1)^n\frac{d^{2n}}{dt^{2n}}\). The author finds explicitly the spetral functions and Weyl functions corresponding to the Friedrichs and Krein extensions of \(A\).

Reviewer: Anatoly N. Kochubei (Kyïv)

MSC:

47E05	General theory of ordinary differential operators
47B25	Linear symmetric and selfadjoint operators (unbounded)

Keywords:

spectral function; Friedrichs extension; Krein extension; Weyl function