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The equation y′ = fy in zero residue characteristic

Published online by Cambridge University Press:  18 May 2009

Alain Escassut  and
Marie-Claude Sarmant
Alain Escassut
Affiliation:
Université Blaise Pascal, (Clermont II), Mathematiques pures, F-63177 Aubiere Cedex, France
Marie-Claude Sarmant
Affiliation:
Université Pierre et Marie Curie, Mathematiques, F-75230 Paris 05, France
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Let K be an algebraically closed field complete with respect to an ultrametric absolute value |.| and let k be its residue class field. We assume k to have characteristic zero (hence K has characteristic zero too).

Let D be a clopen bounded infraconnected set [3] in K, let R(D) be the algebra of the rational functions with no pole in D, let ‖.‖D be the norm of uniform convergence on D defined on R(D), and let H(D) be the algebra of the analytic elements on D i.e. the completion of R(D) for the norm ‖.‖D.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 33 , Issue 2 , May 1991 , pp. 149 - 153
Copyright
Copyright © Glasgow Mathematical Journal Trust 1991

References

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