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# Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators

Finster, Felix and Schmid, Harald (2006) Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators. Journal für die reine und angewandte Mathematik 601, pp. 71-107.

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## Abstract

The spheroidal wave operator $\cal A$ is a linear elliptic operator of second order with smooth coefficients on the unit sphere $S^2$. Using angular variables $\vartheta \in (0,\pi)$ and $\phi\in [0,2\pi)$ this operator may be written in the form ${\cal A}=-{d\over{d \cos \vartheta}}\sin^2\vartheta {d\over{d \cos \vartheta}} + {1\over {\sin^2 \vartheta}}\left(\Omega\sin^2\vartheta+k\right)^2.$ ...

## Export bibliographical data

Item Type:Article
Date:2006
Institutions:Mathematics > Prof. Dr. Felix Finster
Identification Number:
ValueType
arXiv:math-ph/0405010v4arXiv ID
Subjects:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Owner: Petra Gürster
Deposited On:27 Nov 2009 07:03
Item ID:10990
Owner Only: item control page