Instructor	Camil Muscalu
Office	Malott Hall 519
Lectures	Tuesday and Thursday 2:55-4:10 in Malott 230
Office Hours	By appointment
Textbook	"Classical and multilinear harmonic analysis" Vol. 1 and 2, by Camil Muscalu and Wilhelm Schlag, Cambridge University Press, 2013.
Homework	Several homework problems will be assigned.
Grading	The grading will be entirely based on the solutions to the homework problems.
Syllabus	The class is an introduction to Euclidean harmonic analysis. Topics usually include convergence of Fourier series, harmonic functions and their conjugates, Hilbert transform, Calderón-Zygmund theory, Littlewood-Paley theory, duality between the Hardy space H1 and BMO, paraproducts, Fourier restriction and applications, etc. If time permits, applications to PDE and number theory will also be discussed. It would also be a good idea to take the time and read the prefaces of the two volumes of the book, for a broader introduction to the field, its history, significance, and manifold ramifications in mathematics and other parts of science. In terms of prerequisites, as always, I will try to make the presentation as selfcontained as possible, modulo, of course, the very basic facts of real and complex analysis. Familiarity with core notions of PDE (such as distributions theory) should be helpful as well, but not absolutely necessary.