Math 487, week of Dec 3

  • Fourier series: smoothness and decay of coefficients.
  • Fourier transform (following chapter 18 of Zorich, Mathematical Analysis, 2).
    • Motivation
    • Examples
    • Properties
    • Kotelnikov formula
  • Asymptotics of integrals (chapter 19 of ibid.)
    • Laplace method
    • Localization principle
    • Standard integrals
    • Applications: Stirling formula
    • Tauberian theorems: regularly varying functions
No comments yet.

Leave a Reply