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A Constructive Schwarz Reflection Principle
| Content Provider | Semantic Scholar |
|---|---|
| Author | Clark, Jeremy Thane |
| Copyright Year | 2003 |
| Abstract | We prove a constructive version of the Schwarz reflection principle. Our proof techniques are in line with Bishop’s development of constructive analysis. The principle we prove enables us to reflect analytic functions in the real line, given that the imaginary part of the function converges to zero near the real line in a uniform fashion. This form of convergence to zero is classically equivalent to pointwise convergence, but may be a stronger condition from the constructivist point of view. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.ams.org/journals/tran/2003-355-11/S0002-9947-03-03359-2/S0002-9947-03-03359-2.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Analytic signal Apache Axis Arabic numeral 0 Axis vertebra Converge Convergence (action) Imaginary time Langrisser Schwarz Line level Point of View (computer hardware company) Witsenhausen's counterexample |
| Content Type | Text |
| Resource Type | Article |