Journal of the American Mathematical Society · 1988 · 92 citations · 12 references
Natural SciencesMathematicsStochastic ProcessesErgodic TheoryInvariant TheoryLie GroupsModular FormsSpectral MethodsSpectral TheorySpectral ConvergenceSpectral DecompositionSpectral Measure TheorySpectral RepresentationSpectral TheoremSpectral Theory Of Automorphic FormsTrace MapsTrace Of Linear Operators
Introduction 1. Assumptions on G 2. The invariant trace formula: first version 3, The geometric side 4. The spectral side 5. Completion of the induction argument 6.A convergence estimate 7. Simpler forms of the trace formula 8.The example of GL(n).Global vanishing properties Appendix.The trace Paley-Wiener theorems References
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The unitary dual of GL(n) over an archimedean field
David A. Vogan · Inventiones mathematicae · 1986 · 186 citations
The Trace Formula in Invariant Form
James Arthur · Annals of Mathematics · 1981 · 159 citations