- 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
Kundrecensioner
Fler böcker av författarna
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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.