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Instructors: Prof. Dr. rer. nat. Reinhard Farwig; Jonas Sauer
Event type:
Lecture & Exercise
Org-unit: Dept. 04 - Mathematics
Displayed in timetable as:
04-10-0342-vu
Subject:
Crediting for:
Hours per week:
6
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Course Contents:
Fourier series in L^2 und in L^q, Fourier transformation in L^1, L^2 and L^q,
Theory of distributions.
Singular integral operators, maximal functions.
Multiplier operators, Littlewod-Paley decomposition.
Applications to differential equations
Literature:
L. Grafakos: Classical Fourier Analysis. Springer 2008
L. Grafakos: Modern Fourier Analysis. Springer 2008
E. Stein: Singular Integrals and Differentiability Properties of Functions. Princeton University Press 1970
E. Stein; Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals. Princeton University Press 1993
W. Walter: Einführung in die Theorie der Distributionen, B.I. Wissenschaftsverlag 1994
Preconditions:
Analysis, functional analysis
Expected Number of Participants:
20
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