Analytic continuation of the resolvent of the Laplacian on SL(3)/SO(3)

DOI10.1353/ajm.2004.0031zbMath1060.58020arXivmath/0208116OpenAlexW2591616196MaRDI QIDQ4826238

András Vasy, Rafe R. Mazzeo

Publication date: 11 November 2004

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208116

zbMATH Keywords

symmetric spaceresonancemicrolocal analysiscomplex scalinggeometric perturbationgeometric scattering theory

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Analysis on real and complex Lie groups (22E30) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items

Scattering theory on SL(3)/SO(3): Connections with quantum 3-body scattering ⋮ Fractional Laplacians and extension problems: The higher rank case ⋮ Resonances for the Laplacian on Riemannian symmetric spaces: The case of 𝑆𝐿(3,ℝ)/𝕊𝕆(3) ⋮ A nonlinear Poisson transform for Einstein metrics on product spaces ⋮ Integral operators on the Oshima compactification of a Riemannian symmetric space ⋮ The Feynman propagator on perturbations of Minkowski space ⋮ Analytic continuation of the resolvent of the Laplacian on symmetric spaces of noncompact type