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Developments in Functional Equations and Related Topics pp 17–24Cite as

Isometric Approximation in Bounded Sets and Its Applications

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 124))

Abstract

We give a review of results related to the isometric approximation problem in bounded sets, and their application in the extension problems for bilipschitz and quasisymmetric maps. We also list several recent articles dealing with the approximation problem for mappings defined in the whole space.

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Authors and Affiliations

  1. Department of Mathematics and Systems Analysis, Aalto University, FI-00076, Aalto, Finland

    Pekka Alestalo

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  1. Pekka Alestalo
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Correspondence to Pekka Alestalo .

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Editors and Affiliations

  1. Department of Mathematics, Pedagogical University of Cracow, Kraków,, Poland

    Janusz Brzdęk

  2. Faculty of Applied Mathematics, AGH University of Science and Technology, Kraków, Poland

    Krzysztof Ciepliński

  3. Department of Mathematics, National Technical University of Athens, Athens, Greece

    Themistocles M. Rassias

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Alestalo, P. (2017). Isometric Approximation in Bounded Sets and Its Applications. In: Brzdęk, J., Ciepliński, K., Rassias, T. (eds) Developments in Functional Equations and Related Topics . Springer Optimization and Its Applications, vol 124. Springer, Cham. https://doi.org/10.1007/978-3-319-61732-9_2

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