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Format
Språk
Engelska
Antal sidor
108
Utgivningsdatum
2019-05-30
Förlag
American Mathematical Society
ISBN
9781470435493

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

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## Kundrecensioner

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## Övrig information

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.

## Innehållsförteckning

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.