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2003
Springer

On the Difference Problem for Semilinear Power Series

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On the Difference Problem for Semilinear Power Series
We prove in this paper that if r and s are two semilinear power series in commuting variables and s has bounded coefficients, then r-s is a rational series. This result can be thought of as extending a result of Eilenberg for series in noncommuting variables. However, our proof is combinatorial, avoiding the use of a deeply algebraic cross-section theorem as in the noncommutative case.
Ion Petre
Added 23 Aug 2010
Updated 23 Aug 2010
Type Conference
Year 2003
Where BIRTHDAY
Authors Ion Petre
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