Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc

Author:   Jim Agler ,  Zinaida Lykova ,  Nicholas Young
Publisher:   American Mathematical Society
ISBN:  

9781470435493


Pages:   108
Publication Date:   30 May 2019
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
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Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc


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Author:   Jim Agler ,  Zinaida Lykova ,  Nicholas Young
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.188kg
ISBN:  

9781470435493


ISBN 10:   1470435497
Pages:   108
Publication Date:   30 May 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

Introduction An overview Extremal problems in the symmetrized bidisc $G$ Complex geodesics in $G$ The retracts of $G$ and the bidisc $\mathbb {D}^2$ Purely unbalanced and exceptional datums in $G$ A geometric classification of geodesics in $G$ Balanced geodesics in $G$ Geodesics and sets $V$ with the norm-preserving extension property in $G$ Anomalous sets $\mathcal {R}\cup \mathcal {D}$ with the norm-preserving extension property in $G$ $V$ and a circular region $R$ in the plane Proof of the main theorem Sets in $\mathbb {D}^2$ with the symmetric extension property Applications to the theory of spectral sets Anomalous sets with the norm-preserving extension property in some other domains Appendix A. Some useful facts about the symmetrized bidisc Appendix B. Types of geodesic: a crib and some cartoons Bibliography Index.

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Jim Agler, University of California at San Diego, CA. Zinaida Lykova, Newcastle University, Newcastle upon Tyne, United Kingdom. Nicholas Young, Newcastle University, Newcastle upon Tyne, United Kingdom.

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