Nonstandard polynomials in several variables

Render, Hermann

doi:10.1007/978-94-015-8451-7_8

Hermann Render⁵

Part of the book series: Mathematics and Its Applications ((MAIA,volume 314))

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Abstract

C. Impens has investigated nonstandard polynomials in one variable. In this note we show that many of his results carry over to polynomials in several variables. The concept of complex and real microcontinuity of nonstandard polynomials is intimately related to polynomial approximation in function theory.

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References

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Authors and Affiliations

Department of Mathematics, University of Duisburg, Lotharstr. 65, D-47057, Duisburg, Germany
Hermann Render

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Hermann Render
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Editors and Affiliations

Faculty of Mathematics, Ruhr-Universität Bochum, Bochum, Germany
Sergio A. Albeverio
Department of Mathematics, California Institute of Technology, Pasadena, California, USA
Wilhelm A. J. Luxemburg
Mathematical Institute, University of Tübingen, Tübingen, Germany
Manfred P. H. Wolff

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Render, H. (1995). Nonstandard polynomials in several variables. In: Albeverio, S.A., Luxemburg, W.A.J., Wolff, M.P.H. (eds) Advances in Analysis, Probability and Mathematical Physics. Mathematics and Its Applications, vol 314. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8451-7_8

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DOI: https://doi.org/10.1007/978-94-015-8451-7_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4481-5
Online ISBN: 978-94-015-8451-7
eBook Packages: Springer Book Archive

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