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Description: |
An intriguing result of G. D. Birkhoff states that there exists an entire function $f$ whose translates $f(z+n), n ≥0$ can approximate any entire function, uniformly on compacts sets. In 1952, as a similar result, G. R. MacLane showed existence of an entire function whose derivatives form a dense set in the space of entire functions. In this talk, we survey universality results providing a unifying approach called "hypercyclicity" and try to demonstrate how the dynamics of linear operators can be interesting. We will also include some new extensions to Birkhoff type results.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Özgür Martin (Bowling Green State University, Ohio, USA)
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Institution: |
Bowling Green State University, Ohio, USA
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| Research Groups: |
-Analysis
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See more:
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<Main>
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