Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619091 | Journal of Mathematical Analysis and Applications | 2010 | 11 Pages |
Abstract
Harmonic analysis on GF(pp∞) is studied. The Heisenberg–Weyl group of displacements is shown to be a locally compact and totally disconnected topological group. The formalism introduces algebraic concepts from the theory of Galois fields into harmonic analysis. For example, a Galois group of Frobenius transformations on functions, analogous to the Galois group of Frobenius transformations in Galois theory, is introduced into harmonic analysis. A larger group which we call Heisenberg–Weyl–Galois group is also discussed.
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