Abdel Malek, Kenzy (2020) Computability of Function Spaces from Harmonic Analysis. Masters thesis, Concordia University.
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Abstract
In computer science and mathematics, a computable function is one for which a computer program exists and can give its values in finite time. We explore notions of computability for function spaces such as the Hardy space H^1(R) and the Besov space B^p(T) from harmonic
analysis. After a comprehensive introduction to computable analysis and studying several function spaces, we establish some original results. Namely, that there exists a dense computability structure on the Besov space.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Thesis (Masters) |
| Authors: | Abdel Malek, Kenzy |
| Institution: | Concordia University |
| Degree Name: | M. Sc. |
| Program: | Mathematics |
| Date: | 4 December 2020 |
| Thesis Supervisor(s): | Dafni, Galia and Iljazović, Zvonko |
| ID Code: | 987799 |
| Deposited By: | KENZY ABDEL MALEK |
| Deposited On: | 23 Jun 2021 16:40 |
| Last Modified: | 23 Jun 2021 16:40 |
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