Spectral analysis of the sixth-order Krall differential expression

Autor:	Lance L. Littlejohn, R. Wellman, K. Elliott
Rok vydání:	2020
Předmět:	Physics Discrete mathematics Algebra and Number Theory Sixth order Operator (physics) Hilbert space Operator theory symbols.namesake General theory symbols Spectral analysis Differential expression Analysis Symplectic geometry
Zdroj:	Advances in Operator Theory. 5:1078-1099
ISSN:	2538-225X 2662-2009
DOI:	10.1007/s43036-020-00077-3
Popis:	In this paper, we construct a self-adjoint operator $$\widehat{T}_{A,B}$$ generated by the sixth-order Krall differential expression in the extended Hilbert space $$L^{2}(-1,1)\oplus \mathbb {C}^{2}.$$ To obtain $$\widehat{T} _{A,B},$$ we apply a new general theory, the so-called GKN-EM theory, developed recently by Littlejohn and Wellman that extends the classical Glazman–Krein–Naimark theory using a complex symplectic geometric approach developed by Everitt and Markus. This work extends earlier studies of the Krall expression by both Littlejohn and Loveland.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8f4bc13e41cacabe30c1a5507b0d3ea2 https://doi.org/10.1007/s43036-020-00077-3 Zobrazit plný text záznamu Full text from SpringerLink