Spectral Theory and the Trace Formula

Daniel Bump

Chapter 8 in An Introduction to the Langlands Program, 2004, pp 153-196 from Springer

Abstract: 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.

Keywords: Irreducible Representation; Analytic Continuation; Spectral Theory; Eisenstein Series; Cusp Form (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8226-2_8

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DOI: 10.1007/978-0-8176-8226-2_8

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