Introduction to Harmonic analysis - NRFA182
| Title: |
Úvod do harmonické analýzy |
| Guaranteed by: |
Department of Mathematical Analysis (32-KMA) |
| Faculty: |
Faculty of Mathematics and Physics |
| Actual: |
from 2013 to 2018 |
| Semester: |
winter |
| E-Credits: |
6 |
| Hours per week, examination: |
winter s.:2/0, --- [HT]
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: |
Czech |
| Teaching methods: |
full-time |
| Teaching methods: |
full-time |
|
| Guarantor: |
doc. Mgr. Petr Honzík, Ph.D. |
| Classification: |
Mathematics > Mathematics, Algebra, Differential Equations, Potential Theory, Didactics of Mathematics, Discrete Mathematics, Math. Econ. and Econometrics, External Subjects, Financial and Insurance Math., Functional Analysis, Geometry, General Subjects, , Real and Complex Analysis, Mathematics General, Mathematical Modeling in Physics, Numerical Analysis, Optimization, Probability and Statistics, Topology and Category |
| Is incompatible with: |
NMMA478, NMMA477 |
|
| Annotation -
| |
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Last update: T_KMA (09.05.2012)
Basic course in Harmonic analysis. Fourier transform,
maximal and singular integrals, functions spaces, wavelets.
Last update: T_KMA (09.05.2012)
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 (09.05.2012)
Elias M. Stein Harmonic Analysis, Loukas Grafakos
Classical Fourier Analysis, Loukas Grafakos Modern Fourier Analysis
Last update: T_KMA (09.05.2012)
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 (09.05.2012)
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 (09.05.2012)
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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