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| Detailed information |
| Original study plan |
Bachelor's programme Technical Mathematics 2025W |
| Learning Outcomes |
Competences |
| Confident handling of the Fourier transform
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| Skills |
Knowledge |
- Define Fourier transform and work intensively with it
- Know pseudo-differential operators and their properties and deal with them
- Know first results of Morse theory and apply them to solution operators of differential equations
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Fourier transform, Hermite functions, pseudo-differential operators (definition, asymptotic expansion of the symbol, product, adjoint, parametrix), L^p boundedness of pseudo-differential operators, Sobolev spaces, oscillating integrals, Morse theory
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| Criteria for evaluation |
Oral exam.
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| Methods |
Blackboard presentation
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| Language |
English and French |
| Study material |
- Lecture notes
- M. W. Wong. An introduction to pseudo-differential operators. World Scientific Publishing Co. Inc., River Edge, NJ, second edition, 1999.
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| Changing subject? |
No |
| Earlier variants |
They also cover the requirements of the curriculum (from - to)
402MMPHPOFV22: VO Pseudodifferential Operators and Fourier Integral Operators (2022W-2023S)
TMAPAVOPSDO: VO Pseudodifferential operators and Fourier integral operators (2004W-2022S)
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