Instructor: Sergey Denisov, 623 VV.
MWF, 2:25-3:15 pm, VV B211
Office hours: Wednesday 1:25-2:25 pm and by appointment
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.
1. Harmonic Analysis: Real-Variable 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.