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Recapturing a holomorphic function on an annulus from its mean boundary values
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ching, Chin Hung Chui, Charles K. |
| Copyright Year | 1973 |
| Abstract | Let D be an annulus in the complex plane with closure D and boundary AD. We prove that a functionf, holomorphic in D with Cl+(aD) boundary data for some e>0, is uniquely determined by its arithmetic means s,,(f) and son(f) over equally spaced points on AD. We also give an explicit formula for recapturingffrom its means s"(f) and so,(f). Furthermore, we derive the relations between s,,(f) and so,n(f) which are necessary and sufficient for the analytic continuability off from D to the whole disc. |
| Starting Page | 120 |
| Ending Page | 126 |
| Page Count | 7 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9939-1973-0320326-3 |
| Volume Number | 41 |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1973-041-01/S0002-9939-1973-0320326-3/S0002-9939-1973-0320326-3.pdf |
| Alternate Webpage(s) | https://www.ams.org/journals/proc/1973-041-01/S0002-9939-1973-0320326-3/S0002-9939-1973-0320326-3.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
