Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc (häftad)
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Format
Häftad (Paperback / softback)
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 (häftad)

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

Häftad Engelska, 2019-05-30

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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.