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Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators
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12. Februar 2007
Abstract
We derive a spectral representation for the oblate spheroidal wave operator which is holomorphic in the aspherical parameter Ω in a neighborhood of the real line. For real Ω, estimates are derived for all eigenvalue gaps uniformly in Ω.
The proof of the gap estimates is based on detailed estimates for complex solutions of the Riccati equation. The spectral representation for complex Ω is obtained using the theory of slightly non-selfadjoint perturbations.
Received: 2005-05-17
Published Online: 2007-02-12
Published in Print: 2006-12-19
© Walter de Gruyter
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Artikel in diesem Heft
- Classes réalisables d'extensions non abéliennes
- The large sieve, monodromy and zeta functions of curves
- Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators
- A polynomial divisor problem
- Non-archimedean amoebas and tropical varieties
- Intertwining matrices for number fields: Supplement to “Intertwiners and the K-theory of commutative rings”
- An asymptotic formula for real groups
