Instructor	Xiaochun Li
Office	27 CAB
Lectures	MWF 10:00-10:50 in 347 ALTGELD
Office Hours	M 9:00-9:50.
TA	TBA
Textbook	No textbook
References	Javier Douandikoetxea, Fourier analysis, Graduate studies in math. Vol. 29., AMS, 2001. E. M. Stein, Singular integrals and differentiablity properties of functions, Princeton Univ. Press, Princeton, 1970. E. M. Stein, Harmonic analysis: Real variable methods, Princeton Univ. Press, Princeton, 1993. E. M. Stein and G. Weiss, Introduction to Fourier Analysis in Euclidean Spaces, Princeton Univ. Press, Princeton, 1971. T. H. Wolff, Lectures on Harmonic Analysis, Univ. Lecture Series, Vol. 29, AMS, 2003
Exams	No exams!
Grading	Homework: 100% Students need to turn in ALL homework assigned in class in the end of semester.
Syllabus	The following topics are planed to be covered. Marcinkiewicz interpolation; Approximation to the identity; Fourier transforms; The theory of Calderon-Zygmund singular integrals; Littlewood-Paley theory; Multiplies; BMO and Carleson measure; T1 theroem; Besicovitch sets and the unboundedness of the disk multiplier; Oscillatory integrals
Prerequisites	Solid knowledge of real analysis.