Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2019]
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
volume 258, number 1242 (sixth of 7 numbers) |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031266827&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | vii, 108 Seiten |
| ISBN: | 9781470435493 |
Internformat
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| 245 | 1 | 0 | |a Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc |c Jim Agler, Zinaida Lykova, Nicholas Young |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2019] | |
| 264 | 4 | |c © 2019 | |
| 300 | |a vii, 108 Seiten | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 258, number 1242 (sixth of 7 numbers) | |
| 700 | 1 | |a Lykova, Zinaida A. |d 1954- |0 (DE-588)173276016 |4 aut | |
| 700 | 1 | |a Young, Nicholas |4 aut | |
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Datensatz im Suchindex
| _version_ | 1819344335832875008 |
|---|---|
| adam_text | Contents
Preface vii
Chapter 1. Introduction 1
Chapter 2. An overview 3
Chapter 3. Extremal problems in the symmetrized bidisc G 7
3.1. The Caratheodory and Kobayashi extremal problems 8
3.2. The Caratheodory extremal problem Car(5) for G 9
3.3. Five types of datum 8 in G 9
3.4. The Kobayashi extremal problem Kob( 5) for G 12
Chapter 4. Complex geodesics in G 13
4.1. Complex geodesics and datums in G 13
4.2. Uniqueness of complex geodesics for each datum in G 15
4.3. Flat C-geodesics 15
4.4. Rational T-inner functions 17
Chapter 5. The retracts of G and the bidisc D2 19
5.1. Retracts and geodesics of G 19
5.2. Retracts of 3D2 20
5.3. Geodesics in G are varieties 22
Chapter 6. Purely unbalanced and exceptional datums in G 27
Chapter 7. A geometric classification of geodesics in G 37
Chapter 8. Balanced geodesics in G 45
Chapter 9. Geodesics and sets V with the norm-preserving extension property
in G 49
9.1. V and Car(5) 50
9.2. V and balanced datums 51
9.3. V and flat or royal datums 52
Chapter 10. Anomalous sets RUP with the norm-preserving extension
property in G 59
10.1. Definitions and lemmas 59
10.2. The proof of the norm-preserving extension property for 7ZU T 61
Chapter 11. V and a circular region R in the plane 63
Chapter 12. Proof of the main theorem 69
iii
iv CONTENTS
12.1. Preliminary lemmas 70
12.2. a : R — V is analytic on R~~ 72
12.3. Degree considerations 73
Chapter 13. Sets in B2 with the symmetric extension property 77
Chapter 14. Applications to the theory of spectral sets 83
Chapter 15. Anomalous sets with the norm-preserving extension property in
some other domains 87
Appendix A. Some useful facts about the symmetrized bidisc 91
A.l. Basic properties of G and T 91
A.2. Complex C-geodesics in G 92
A.3. Automorphisms of G 93
A.4. A trichotomy theorem 94
A. 5. Datums for which all 3^ are extremal 95
Appendix B. Types of geodesic: a crib and some cartoons 99
B. l. Crib sheet 99
B.2. Cartoons 100
Bibliography 103
Index 107
|
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| author | Agler, Jim 1951- Lykova, Zinaida A. 1954- Young, Nicholas |
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| id | DE-604.BV045883713 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T18:37:31Z |
| institution | BVB |
| isbn | 9781470435493 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-031266827 |
| oclc_num | 1101915443 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-83 DE-29T DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-83 DE-29T DE-11 |
| physical | vii, 108 Seiten |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spellingShingle | Agler, Jim 1951- Lykova, Zinaida A. 1954- Young, Nicholas Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc Memoirs of the American Mathematical Society |
| title | Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc |
| title_auth | Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc |
| title_exact_search | Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc |
| title_full | Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc Jim Agler, Zinaida Lykova, Nicholas Young |
| title_fullStr | Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc Jim Agler, Zinaida Lykova, Nicholas Young |
| title_full_unstemmed | Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc Jim Agler, Zinaida Lykova, Nicholas Young |
| title_short | Geodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc |
| title_sort | geodesics retracts and the norm preserving extension property in the symmetrized bidisc |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=031266827&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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