
Instructor: Sergey Denisov, 623 VV. ______________________________________________________________________________ 
A or AB for doing occasional homework assignments For all announcements (including HW), check the Canvas page of the course.

We
will cover some basic material in harmonic analysis and then
might do more advanced topics (random constructions in harmonic
analysis, polynomial estimates, uncertainty principle). Classical and multilinear harmonic analysis, Vol. 1, C. Muscalu and W. Schlag, Cambridge Studies in Advanced Mathematics, 137, Cambridge University press, 2013. Additional reading: 1. Harmonic Analysis: RealVariable Methods, Orthogonality, and Oscillatory Integrals, E. Stein, 1993, Princeton Univ. Press. 2. Some random series of functions, J.P. Kahane, Second edition, Cambridge studies in advanced mathematics, 5, Cambridge University press, 1985. 3. Polynomials and polynomial inequalities, P. Borwein, T. Erdelyi, Graduate texts in mathematics, 161, Springer, 1995. 