Article

Letters in Mathematical Physics

, Volume 46, Issue 1, pp 1-47

First online:

An Introduction to p-adic Fields, Harmonic Analysis and the Representation Theory of SL2

  • Paul J. SallyJr.Affiliated withDepartment of Mathematics, University of Chicago

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Abstract

In this expository article, we develop in considerable detail harmonic analysis on p-adic fields. This harmonic analysis is distinctly different from that on the real and complex numbers due to the nature of the underlying topology.

p-adic analysis harmonic analysis representation theory.