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Preprint Number 1391
1391. Tobias Kaiser Logarithms, constructible functions and integration on
non-archimedean
models of the theory of the real field with restricted analytic functions
with value group of finite archimedean rank E-mail: Submission date: 1 March 2018 Abstract: Given a model of the theory of the real field with restricted analytic
functions such that its value group has finite archimedean rank we show
how one
can extend the restricted logarithm to a global logarithm with values in the
polynomial ring over the model with dimension the archimedean rank. The
logarithms are determined by algebraic data from the model, namely by a
section
of the model and by an embedding of the value group into its Hahn group. Mathematics Subject Classification: 03C64, 03H05, 06F20, 12J25, 26E30, 28B15, 28E05, 32B20 Keywords and phrases: |

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