Abstract
We generalise the approximation theory described in Mahler's paper “Perfect Systems” to linked simultaneous approximations and prove the existence of nonsingular approximation and of transfer matrices by generalising Coates’ normality zig-zag theorem. The theory sketched here may have application to constructions important in the theory of diophantine approximation.
| Original language | English |
|---|---|
| Pages (from-to) | 50-61 |
| Number of pages | 12 |
| Journal | Journal of the Australian Mathematical Society |
| Volume | 51 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1991 |
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Cite this
Van Der Poorten, A. J. (1991). Generalised Simultaneous Approximation of Functions. Journal of the Australian Mathematical Society, 51(1), 50-61. https://doi.org/10.1017/S1446788700033292