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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


Michael Taylor
University of North Carolina, Chapel Hill
Reference #


Posted date
2022-06-22 04:09:20
Revised date
2022-06-22 04:09:20
Notes type
   Topics Course
   Research Monographs
      Real Analysis
      Harmonic Analysis
      Functional Analysis
      Geometric Analysis
   Differential Equations
      Linear Partial Differential Equations
      Nonlinear Partial Differential Equations

Short Course on Pseudodifferential Operators

In four chapters we present basic material on the theory of pseudodifferential operators and selected applications to PDE. Chapter I: Operators with smooth symbol on R^n. II: Operators with rough symbols and paradifferential operators. III: Layer potentials on domains with uniformly rectifiable boundary. IV: Operators on noncompact manifolds.

Course Notes and Supplementary Material (PDF format)

TypeFile (Size)Date
Course notes v2 PDF (472K) 06/24/22