A discrete leading symbol and spectral asymptotics for natural differential operators
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Publication:1604540
DOI10.1006/jfan.2001.3886zbMath1024.58016arXivhep-th/0109181OpenAlexW2084168509MaRDI QIDQ1604540
Ivan G. Avramidi, Thomas P. Branson
Publication date: 4 July 2002
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0109181
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)
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Cites Work
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- Harmonic analysis in vector bundles associated to the rotation and spin groups
- Semiholonomic Verma modules
- Stein-Weiss operators and ellipticity
- Kato constants in Riemannian geometry
- A conformally invariant differential operator on Weyl tensor densities
- Thomas's structure bundle for conformal, projective and related structures
- Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup
- Conformally Invariant Powers of the Laplacian, II: Nonexistence
- Linear Algebra of Curvature Tensors and Their Covariant Derivatives
- CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
- HEAT KERNEL ASYMPTOTICS OF OPERATORS WITH NON-LAPLACE PRINCIPAL PART
- A Formula For the Multiplicity of a Weight
- Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group