Equivariant heat asymptotics on spaces of automorphic forms

DOI10.1090/tran/6439zbMath1333.22010arXiv1202.4709OpenAlexW1525920429MaRDI QIDQ2790598

Pablo Ramacher, Octavio Paniagua-Taboada

Publication date: 7 March 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.4709

zbMATH Keywords

Pseudodifferential operatorsHeat traceMinakshisundaram-Pleijel expansionequivariant singular asymptoticsLocally symmetric spaces

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Pseudodifferential and Fourier integral operators on manifolds (58J40) Differential geometry of symmetric spaces (53C35) Automorphic forms, one variable (11F12) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items

Addendum to: ``Singular equivariant asymptotics and Weyl's law, Global automorphic Sobolev theory and the automorphic heat kernel

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(L^ 2\)-index and the Selberg trace formula
• Reduced Weyl asymptotics for pseudodifferential operators on bounded domains. II: The compact group case
• The asymptotic expansion of Minakshisundaram-Pleijel in the equivariant case
• Limit formulas for multiplicities in \(L^ 2(\Gamma-G)\). II: The tempered spectrum
• Asymptotic expansions for the compact quotients of properly discontinuous group actions
• The trace class conjecture in the theory of automorphic forms. II
• Momentum maps and Hamiltonian reduction
• Elliptic operators on Lie groups
• Integral operators on the Oshima compactification of a Riemannian symmetric space
• Asymptotic behaviour of spectra of compact quotients of certain symmetric spaces
• Curvature and the eigenvalues of the Laplacian
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• On the heat equation and the index theorem
• Compact Clifford-Klein forms of symmetric spaces
• On Lie Semi-Groups
• Canonical Extensions of Harish-Chandra Modules to Representations of G
• The Minakshisundaram-Pleijel Coefficients for the Vector Valued Heat Kernel on Compact Locally Symmetric Spaces of Negative Curvature
• Pseudodifferential Operators on Prehomogeneous Vector Spaces
• Harmonic analysis on semisimple Lie groups
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds