  These notes present a first graduate course in harmonic analysis.
  The first part emphasizes Fourier series, since so many aspects of harmonic
analysis arise already in that classical context. The Hilbert transform is
treated on the circle, for example, where it is used to prove L^p convergence
of Fourier series. Maximal functions and Calderon--Zygmund decompositions are
treated in R^d, so that they can be applied again in the second part of the
course, where the Fourier transform is studied. The final part of the course
treats band limited functions, Poisson summation and uncertainty principles.
  Distribution functions and interpolation are covered in the Appendices.
  The references at the beginning of each chapter provide guidance to students
who wish to delve more deeply, or roam more widely, in the subject.
