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Instructors: Prof. Dr. rer. nat. Reinhard Farwig; Jens-Henning Möller
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
04-00-0256-vu
Subject:
Crediting for:
Hours per week:
3
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Course Contents:
Theory of Calderon-Zygmund, singular integral operators,
interpolation, Fourier transformation, multipliers
Literature:
W. Rudin, Reelle und komplexe Analysis, Oldenbourg Verlag 1999.
W. Rudin, Real and Complex Analysis, McGraw Hill, 3. Auflage 1987.
E. Stein, Harmonic Analysis, Princeton University Press.
L. Grafakos, Classical Fourier Analysis, Modern Fourier Analysis, Springer.
Preconditions:
Lebesgue's integral, complex analysis, basic knowledge of functional analysis
Official Course Description:
Extension of the Fourier transform to L^p, 1<p<2, and to the Schwartz space. General multiplier operators. Interpolation theorem of Marcinkiewicz. Maximal operators, Hilbert transform, Riesz operators. Singular integral operators. Multiplier theorems of Hörmander-Mikhlin and Marcinkiewicz.
Online Offerings:
Lecture Notes
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