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Conformal mapping of o-minimal corners
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Tobias Kaiser
Published/Copyright:
March 15, 2012
Abstract
We say that a simply connected domain in the plane has an o-minimal corner at the origin if its boundary at the origin is given by two curves forming a corner of nonzero angle which are definable in a given o-minimal structure. We investigate the mapping function at o-minimal corners. We describe the asymptotic behaviour if the boundary curves are definable in an arbitrary polynomially bounded o-minimal structure. If they are definable in the o-minimal structure ℝanℝ we establish an asymptotic expansion in terms of a generalized power series with logarithmic perturbation.
Published Online: 2012-03-15
Published in Print: 2012-03
© by Oldenbourg Wissenschaftsverlag, Passau, Germany
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Articles in the same Issue
- Control of the isoperimetric deficit by the Willmore deficit
- Sharp estimates for various trigonometric sums
- Conformal mapping of o-minimal corners
- The genesis of convolution in Fourier analysis with applications
- Some arithmetical applications of Newton´s interpolation series
- Erratum to: Approximation schemes for solving disturbed control problems with non-terminal time and state constraints
