Inhalt
[ 201ANASSIPU22 ] UE Singular Integrals and Potential Theory
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| Workload |
Education level |
Study areas |
Responsible person |
Hours per week |
Coordinating university |
| 1,5 ECTS |
B3 - Bachelor's programme 3. year |
Mathematics |
Paul Müller |
1 hpw |
Johannes Kepler University Linz |
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| Detailed information |
| Original study plan |
Bachelor's programme Technical Mathematics 2025W |
| Learning Outcomes |
Competences |
| Understanding of singular integral operators and their use in digital signal processing, theoretical electrical engineering, wavelet development, and potential theory.
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| Skills |
Knowledge |
- Applying the Calderon-Zygmund theory of singular integral equations for the Hilbert transform, the Riesz transforms, and the double layer potential potential.
- Deriving existence and regularity results for Dirichlet boundary value problems and Cauchy-Neumann problems from the Calderon-Zygmund theory.
- Proving main theorems on the continuity of singular integral operators arising in applied harmonic analysis.
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Hilbert transform, Riesz transforms, and the potential of the double layer. Calderon-Zygmund theory, its main theorems, and applications in potential theory and harmonic analysis.
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| Criteria for evaluation |
Presentation of solutions to exercise problems.
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| Language |
English and French |
| Changing subject? |
No |
| Earlier variants |
They also cover the requirements of the curriculum (from - to)
TM1WAUESING: UE Singular integrals and potential theory (2004S-2022S)
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| On-site course |
| Maximum number of participants |
25 |
| Assignment procedure |
Direct assignment |
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