Addendum to “Singular equivariant asymptotics and Weyl’s law”
-
Pablo Ramacher
Abstract
Let M be a closed Riemannian manifold carrying an effective and isometric action of a compact connected
Lie group G. We derive a refined remainder estimate in the stationary phase approximation of certain
oscillatory integrals on
References
[1] R. Cassanas, Reduced Gutzwiller formula with symmetry: Case of a Lie group, J. Math. Pures Appl. (9) 85 (2006), 719–742. 10.1016/j.matpur.2005.11.003Search in Google Scholar
[2]
H. Donnelly,
G-spaces, the asymptotic splitting of
[3] A. Grigis and J. Sjöstrand, Microlocal analysis for differential operators, London Math. Soc. Lecture Note Ser. 196, Cambridge University Press, Cambridge 1994. 10.1017/CBO9780511721441Search in Google Scholar
[4] B. Küster and P. Ramacher, Quantum ergodicity and symmetry reduction, J. Funct. Anal. (2017), to appear. 10.1016/j.jfa.2017.02.013Search in Google Scholar
[5] O. Paniagua-Taobada and P. Ramacher, Equivariant heat asymptotics on spaces of automorphic forms, Trans. Amer. Math. Soc. 368 (2016), no. 5, 3509–3537. 10.1090/tran/6439Search in Google Scholar
[6] P. Ramacher, Singular equivariant asymptotics and the momentum map. Residue formulae in equivariant cohomology, J. Symplectic Geom. 14 (2016), no. 2, 449–539. 10.4310/JSG.2016.v14.n2.a4Search in Google Scholar
[7] P. Ramacher, Singular equivariant asymptotics and Weyl’s law. On the distribution of eigenvalues of an invariant elliptic operator, J. reine angew. Math. 716 (2016), 29–101. 10.1515/crelle-2014-0008Search in Google Scholar
[8] V. S. Varadarajan, Lie groups, Lie algebras and their representations, Englewood Cliffs, Prentice Hall 1974. Search in Google Scholar
[9] N. R. Wallach, Real reductive groups. Vol. I, Academic Press, New York 1988. Search in Google Scholar
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Articles in the same Issue
- Frontmatter
- Equivariant basic cohomology of Riemannian foliations
- Motivic decomposition of compactifications of certain group varieties
- A soft Oka principle for proper holomorphic embeddings of open Riemann surfaces into (ℂ*)2
- Associated forms and hypersurface singularities: The binary case
- Stratified-algebraic vector bundles
- Best possible rates of distribution of dense lattice orbits in homogeneous spaces
- K-homological finiteness and hyperbolic groups
- Involutions of varieties and Rost’s degree formula
- Curves and surfaces with constant nonlocal mean curvature: Meeting Alexandrov and Delaunay
- Addendum to “Singular equivariant asymptotics and Weyl’s law”
Articles in the same Issue
- Frontmatter
- Equivariant basic cohomology of Riemannian foliations
- Motivic decomposition of compactifications of certain group varieties
- A soft Oka principle for proper holomorphic embeddings of open Riemann surfaces into (ℂ*)2
- Associated forms and hypersurface singularities: The binary case
- Stratified-algebraic vector bundles
- Best possible rates of distribution of dense lattice orbits in homogeneous spaces
- K-homological finiteness and hyperbolic groups
- Involutions of varieties and Rost’s degree formula
- Curves and surfaces with constant nonlocal mean curvature: Meeting Alexandrov and Delaunay
- Addendum to “Singular equivariant asymptotics and Weyl’s law”
