Harmonic analysis in vector bundles associated to the rotation and spin groups

DOI10.1016/0022-1236(92)90050-SzbMath0778.58066OpenAlexW2012072913MaRDI QIDQ1188462

Thomas P. Branson

Publication date: 13 August 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(92)90050-s

zbMATH Keywords

spectrumvector bundleBochner Laplaciandifferential formLichnerowicz Laplaciantensor- spinor bundle

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Abstract harmonic analysis (43A99)

Related Items (11)

The spinor and tensor fields with higher spin on spaces of constant curvature ⋮ Twisted Dirac operators and generalized gradients ⋮ Stein-Weiss operators and ellipticity ⋮ Spherical harmonic polynomials for higher bundles ⋮ Unnamed Item ⋮ Explicit Functional Determinants in Four Dimensions ⋮ The Functional Determinant of a Four-Dimensional Boundary Value Problem ⋮ A representation-theoretical proof of Branson's classification of elliptic generalized gradients ⋮ Sharp Inequalities, the Functional Determinant, and the Complementary Series ⋮ Bochner identities for Kählerian gradients ⋮ A discrete leading symbol and spectral asymptotics for natural differential operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Propagateurs et commutateurs en relativité générale
• Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne
• Spectra and eigenforms of the Laplacian on \(S^n\) and \(P^n(C)\)
• Reidemeister torsion and the Laplacian on lens spaces
• Dérivées de Lie des spineurs. (Lie derivatives of spinors)
• Differential operators cononically associated to a conformal structure.
• Harmonic analysis of the de Rham complex on the sphere.
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group

This page was built for publication: Harmonic analysis in vector bundles associated to the rotation and spin groups