SubjectsSubjects(version: 849)
Course, academic year 2019/2020
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Harmonic analysis and probability - NRFA181
Title in English: Harmonická analýza a pravděpodobnost
Guaranteed by: Department of Mathematical Analysis (32-KMA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2019
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0 Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: cancelled
Language: Czech
Teaching methods: full-time
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
Annotation -
Last update: JUDr. Dana Macharová (24.01.2012)
This course expands the course Geometrické aspekty harmonické analýzy. The concepts taken from probability theory play great role in modern harmonic analysis. Our goal is to demonstrate this connection in several classical results from the theory of the Cauchy integral, Carleson measures and Carleson theorem.
Literature -
Last update: JUDr. Dana Macharová (24.01.2012)

Elias M. Stein Harmonic Analysis, Loukas Grafakos

Classical Fourier Analysis, Loukas Grafakos Modern Fourier Analysis

Syllabus -
Last update: JUDr. Dana Macharová (24.01.2012)

1) Haar martingale, wavelets

2) BMO, Carleson measures, applications

3) the integral of Cauchy

4) Carleson theorem

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