Heat kernel bounds for complex time and Schrödinger Kernel on hyperbolic spaces and Kleinian groups

DOI10.1017/S0305004112000035zbMath1253.30051MaRDI QIDQ3168436

Nikolaos Mandouvalos

Publication date: 31 October 2012

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Laplace operatorhyperbolic spaceheat kernelcomplex timeSchrödinger kernel

Mathematics Subject Classification ID

Heat equation (35K05) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

Schrödinger equations on locally symmetric spaces

Cites Work

• Bounds for the Green and heat kernels on symmetric spaces
• Nonlinear Schrödinger equation on real hyperbolic spaces
• Riesz transform on locally symmetric spaces and Riemannian manifolds with a spectral gap
• Spectrum of the Laplacian and Riesz transform on locally symmetric spaces
• Heat kernel bounds on manifolds with cusps
• Analysis of cuspidal manifolds
• Heat kernel and Green function estimates on noncompact symmetric spaces
• Optimal estimates of the heat kernel on cuspidal varieties
• Spectral Theory for Riemannian Manifolds with Cusps and a Related Trace Formula
• Translation representations for automorphic solutions of the wave equation in non-euclidean spaces. I
• HEAT KERNEL BOUNDS, POINCARÉ SERIES, AND L² SPECTRUM FOR LOCALLY SYMMETRIC SPACES
• Heat Kernel Bounds on Hyperbolic Space and Kleinian Groups
• Spectral Theory and Eisenstein Series for Kleinian Groups
• L ^p Spectral Theory for Manifolds of Hyperbolic Type

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