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Spectral Theory and the Trace Formula

In: An Introduction to the Langlands Program

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  • Daniel Bump

Abstract

We give an account of a portion of the spectral theory ΓSL(2, ℝ), particularly the Selberg trace formula, emphasizing ideas from representation theory. For simplicity, we will treat the trace formula only in the case of a compact quotient. The last section is of a different nature, intended to show a simple application of the trace formula to a lifting problem.

Suggested Citation

  • Daniel Bump, 2004. "Spectral Theory and the Trace Formula," Springer Books, in: Joseph Bernstein & Stephen Gelbart (ed.), An Introduction to the Langlands Program, chapter 8, pages 153-196, Springer.
    • Handle: RePEc:spr:sprchp:978-0-8176-8226-2_8
    DOI: 10.1007/978-0-8176-8226-2_8
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