Introduction to Harmonic Analysis 1 - NMMA477
| Title: |
Úvod do harmonické analýzy 1 |
| Guaranteed by: |
Department of Mathematical Analysis (32-KMA) |
| Faculty: |
Faculty of Mathematics and Physics |
| Actual: |
from 2016 to 2016 |
| Semester: |
winter |
| E-Credits: |
3 |
| Hours per week, examination: |
winter s.:2/0, Ex [HT] |
| Capacity: |
unlimited |
| Min. number of students: |
unlimited |
| 4EU+: |
no |
| Virtual mobility / capacity: |
no |
| State of the course: |
not taught |
| Language: |
English, Czech |
| Teaching methods: |
full-time |
| Teaching methods: |
full-time |
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| Annotation -
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Last update: T_KMA (25.04.2013)
Basic course in Harmonic analysis. Fourier transform,
maximal and singular integrals, functions spaces, wavelets.
Last update: T_KMA (25.04.2013)
Základní kurs v harmonické analýze. Fourierova transformace,
maximální a singulární integrály, prostory funkcí, wavelety.
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| Literature -
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Last update: T_KMA (25.04.2013)
Elias M. Stein Harmonic Analysis, Loukas Grafakos
Classical Fourier Analysis, Loukas Grafakos Modern Fourier Analysis
Last update: T_KMA (25.04.2013)
Elias M. Stein Harmonic Analysis, Loukas Grafakos
Classical Fourier Analysis, Loukas Grafakos Modern Fourier Analysis
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| Syllabus -
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Last update: T_KMA (25.04.2013)
1) L^p spaces, interpolation, Fourier transform
2) Harmonic functions on the circle, Harmonic conjugate, Hilbert transform
3) Maximal and singular operators
4) Littlewood-Paley theorem
5) Function spaces
6) Wavelets
Last update: T_KMA (25.04.2013)
1) L^p prostory, interpolace, Fourierova transformace
2) Harmonické funkce na kruhu, konjugovaná funkce, Hilbertova transformace
3) Maximální a singulární operátory
4) Littlewood-Paleyova věta
5) Prostory funkcí
6) Wavelety
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