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.
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Sally, P.J. An Introduction to p-adic Fields, Harmonic Analysis and the Representation Theory of SL2 . Letters in Mathematical Physics 46, 1–47 (1998). https://doi.org/10.1023/A:1007583108067
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DOI: https://doi.org/10.1023/A:1007583108067