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Conference Paper: On Finite Blaschke Products Sharing Preimages of Sets
| Title | On Finite Blaschke Products Sharing Preimages of Sets |
|---|---|
| Other Titles | On finite Blaschke products sharing preimage of connected compact sets |
| Authors | |
| Issue Date | 2013 |
| Citation | Conference on Complex Geometry, The University of Hong Kong, Hong Kong, 25-28 June 2013 How to Cite? |
| Abstract | In this talk, we shall consider the problem of characterizing those finite Blaschke products sharing
preimage of connected compact subsets with positive hyperbolic capacity of the standard unit disk.
We shall see that this problem is closely related to the factorization of finite Blaschke products (in the
sense of compositions) and also the problem of characterizing polynomials sharing the same Julia set.
To solve this problem, we shall follow T.C. Dinh’s approach to a similar problem for polynomials.This
is a joint work with C.Y. Tsang. |
| Persistent Identifier | http://hdl.handle.net/10722/227924 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Ng, TW | - |
| dc.date.accessioned | 2016-07-26T09:42:16Z | - |
| dc.date.available | 2016-07-26T09:42:16Z | - |
| dc.date.issued | 2013 | - |
| dc.identifier.citation | Conference on Complex Geometry, The University of Hong Kong, Hong Kong, 25-28 June 2013 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/227924 | - |
| dc.description.abstract | In this talk, we shall consider the problem of characterizing those finite Blaschke products sharing preimage of connected compact subsets with positive hyperbolic capacity of the standard unit disk. We shall see that this problem is closely related to the factorization of finite Blaschke products (in the sense of compositions) and also the problem of characterizing polynomials sharing the same Julia set. To solve this problem, we shall follow T.C. Dinh’s approach to a similar problem for polynomials.This is a joint work with C.Y. Tsang. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Conference on Complex Geometry, HKU | - |
| dc.title | On Finite Blaschke Products Sharing Preimages of Sets | - |
| dc.title.alternative | On finite Blaschke products sharing preimage of connected compact sets | - |
| dc.type | Conference_Paper | - |
| dc.identifier.email | Ng, TW: ngtw@hku.hk | - |
| dc.identifier.authority | Ng, TW=rp00768 | - |
| dc.identifier.hkuros | 219627 | - |