Classical and Fourier Approach to Function Spaces - NRFA027
Title: Klasický a fourierovský přístup k prostorům funkcí
Guaranteed by: Institute of Mathematics CAS (32-MUAV)
Faculty: Faculty of Mathematics and Physics
Actual: from 2014
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: cancelled
Language: Czech
Teaching methods: full-time
Note: you can enroll for the course repeatedly
Class: DS, matematická analýza
Classification: Mathematics > Functional Analysis, Real and Complex Analysis
Pre-requisite : NMAA069, NMAA070, NRFA006
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Annotation -
This lecture will deal with the classical and Fourier approach to functions with generalized derivatives, in particular to Sobolev and Besov spaces. At the same time the exposition of the basic techniques used here represents an introduction to the interpolation theory, the theory and applications of the maximal function, Riesz and Bessel potentials, Fourier multipliers and theorems of Littlewood-Paley type. The goal is a theory in $R^n$ and its subsequent transfer to domains with help of extension theorems.
Last update: T_KMA (10.05.2001)
Syllabus -

This lecture will deal with the classical and Fourier approach to functions with generalized derivatives, in particular to Sobolev and Besov spaces. At the same time the exposition of the basic techniques used here represents an introduction to the interpolation theory, the theory and

applications of the maximal function, Riesz and Bessel potentials, Fourier

multipliers and theorems of Littlewood-Paley type. The goal is a theory in $R^n$ and its subsequent transfer to domains with help of extension

theorems.

Last update: G_M (02.06.2005)