Open Math Notes

Resources and inspiration for math instruction and learning

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Welcome to AMS Open Math Notes, a repository of freely downloadable mathematical works hosted by the American Mathematical Society as a service to researchers, faculty and students. Open Math Notes includes:

  • Draft works including course notes, textbooks, and research expositions. These have not been published elsewhere and are subject to revision.
  • Items previously published in the Journal of Inquiry-Based Learning in Mathematics, a refereed journal
  • Refereed publications at the AMS

Visitors are encouraged to download and use any of these materials as teaching and research aids, and to send constructive comments and suggestions to the authors.

Open Math Notes Advisory Board:

  • Karen Vogtmann, Chair | University of Warwick
  • Tom Halverson | Macalester College
  • Andrew Hwang | College of the Holy Cross
  • Robert Lazarsfeld | Stony Brook University
  • Mary Pugh | University of Toronto


gary knott
Civilized Software Inc.
Reference #


Posted date
2021-07-10 19:35:17
Revised date
2021-07-10 19:35:17
Notes type
   Topics Course
      Real Analysis
      Complex Analysis
      Harmonic Analysis
      Functional Analysis

Fourier Transforms

The four main types of Fourier transforms are defined and some of their properties and interrelationships are derived. The four types of Fourier transforms are: those defined on periodic functiions defined on R, discrete periodic functions, rapidly-diminishing functions, and linear functionals on rapidly-diminishing functions.,

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v4 PDF (664K) 07/27/21