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A spectral representation for spin-weighted spheroidal wave operators with complex aspherical parameter

Finster, Felix and Smoller, Joel (2015) A spectral representation for spin-weighted spheroidal wave operators with complex aspherical parameter. Preprintreihe der Fakultät Mathematik 13/2015, Working Paper.

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Date of publication of this fulltext: 17 Dec 2015 12:47

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Abstract

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.


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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Date:2015
Institutions:Mathematics > Prof. Dr. Felix Finster
Identification Number:
ValueType
1507.05756arXiv ID
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Unknown
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:33075
Owner only: item control page

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