Introduction to Harmonic Analysis 2 - NMMA478
Title: |
Úvod do harmonické analýzy 2 |
Guaranteed by: |
Department of Mathematical Analysis (32-KMA) |
Faculty: |
Faculty of Mathematics and Physics |
Actual: |
from 2016 to 2016 |
Semester: |
summer |
E-Credits: |
3 |
Hours per week, examination: |
summer 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 (02.05.2013)
Pokračování přednášky NMMA477.
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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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