Journal ArticleDOI
The Plancherel measure for p-forms in real hyperbolic spaces
Reads0
Chats0
TLDR
In this article, a simple relation between the residues of μ(λ) at these poles and the (known) degeneracies of Δ on the N -sphere is obtained.About:
This article is published in Journal of Geometry and Physics.The article was published on 1994-12-01. It has received 75 citations till now. The article focuses on the topics: Plancherel theorem & Meromorphic function.read more
Citations
More filters
Journal ArticleDOI
On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
TL;DR: In this article, the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces of arbitrary dimension are computed by separating variables in geodesic polar coordinates.
Journal ArticleDOI
Spectral functions and zeta functions in hyperbolic spaces
TL;DR: In this paper, the spectral function for a field of arbitrary integer spin on the real hyperbolic space (HN) is calculated for a symmetric traceless and divergence-free tensor field.
Journal ArticleDOI
On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
TL;DR: In this paper, the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces of arbitrary dimension are computed by separating variables in geodesic polar coordinates.
Journal ArticleDOI
The heat kernel on AdS 3 and its applications
TL;DR: The authors derived the heat kernel for arbitrary tensor fields on S3 and (Euclidean) AdS3 using a group theoretic approach and showed that the answer factorizes into left and right-moving super Virasoro characters built on the S3 invariant vacuum.
Journal ArticleDOI
The Heat Kernel on AdS_3 and its Applications
TL;DR: In this paper, the heat kernel for arbitrary tensor fields on S^3 and (Euclidean) AdS_3 using a group theoretic approach was derived, and the answer factorizes into left and right-moving super Virasoro characters built on the SL(2, C) invariant vacuum.
References
More filters
Book
Differential Geometry, Lie Groups, and Symmetric Spaces
TL;DR: In this article, the structure of semisimplepleasure Lie groups and Lie algebras is studied. But the classification of simple Lie algesbras and of symmetric spaces is left open.
Journal ArticleDOI
Tables of Integrals, Series, and Products
Book
Groups and geometric analysis
TL;DR: Geometric Fourier analysis on spaces of constant curvature Integral geometry and Radon transforms Invariant differential operators Invariants and harmonic polynomials Spherical functions and spherical transforms Analysis on compact symmetric spaces Appendix Some details Bibliography Symbols frequently used Index Errata.
Book
Eigenvalues in Riemannian geometry
TL;DR: The Dirichlet Heat Kernel for Regular Domains as mentioned in this paper is a heat kernel for non-compact manifolds that is based on the Laplacian on forms (LFP).