Tweet | ## Fourier Analysis on Local Fields. (MN-15) |

This book presents a development of the basic facts about harmonic analysis on local fields and the The force of the analogy between the local field and Euclidean cases rests in the relationship of the field structures that underlie the respective cases. A complete classification of locally compact, non-discrete fields gives us two examples of connected fields (real and complex numbers); the rest are local fields (p-adic numbers, p-series fields, and their algebraic extensions). The local fields are studied in an effort to extend knowledge of the reals and complexes as locally compact fields. The author's central aim has been to present the basic facts of Fourier analysis on local fields in an accessible form and in the same spirit as in Zygmund's Originally published in 1975. The
- Mathematical Notes
Phillip A. Griffiths, John N. Mather, and Elias M. Stein, series editors - Princeton Legacy Library
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