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Let K be a complete ultrametric field and (A, ∥ . ∥) be a K-Banach algebra. In the past literature the multiplicative spectrum M ult(A, ∥ . ∥) of A has been provided with different topologies and metrics. The usual topol...
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Small functions were defined in complex analysis and next in ultrametric analysis. Order of growth and type of growth were also defined in complex analysis and have a similar definition in ultrametric analysis. Here we c...
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Let IK be an ultrametric complete field and let E be an open subset of IK of strictly positive codiameter. Let D(E) be the Banach IK-algebra of bounded strictly differentiable functions from E to IK, a notion whose defin...