A Spectral Representation for Spin-Weighted Spheroidal Wave Operators with Complex Aspherical Parameter

Autor:	Finster, Felix, Smoller, Joel
Rok vydání:	2015
Předmět:	Mathematical Physics General Relativity and Quantum Cosmology Mathematics - Classical Analysis and ODEs Mathematics - Spectral Theory
Zdroj:	Methods and Applications of Analysis 23 (2016) 35-118
Druh dokumentu:	Working Paper
DOI:	10.4310/MAA.2016.v23.n1.a2
Popis:	A family of spectral decompositions of the spin-weighted spheroidal wave operator is constructed for complex aspherical parameters with bounded imaginary part. As the operator is not symmetric, its spectrum is complex and Jordan chains may appear. We prove uniform upper bounds for the length of the Jordan chains and the norms of the idempotent operators mapping onto the invariant subspaces. The completeness of the spectral decomposition is proven. Comment: 82 pages, LaTeX, 8 figures, minor improvements (published version)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1507.05756 Zobrazit plný text záznamu View this record from Arxiv