The Digit Principle

Details The Digit Principle The Digit Principle

2000-02-03

arxiv.org/abs/math/0002026v1

Mathematics

Number Theory

20 pages, 0 figures, LaTeX, to appear in Journal of Number Theory

Scientific paper

A number of constructions in function field arithmetic involve extensions from linear objects using digit expansions. This technique is described here as a method of constructing orthonormal bases in spaces of continuous functions. We illustrate several examples of orthonormal bases from this viewpoint, and we also obtain a concrete model for the continuous functions on the integers of a local field as a quotient of a Tate algebra in countably many variables.

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