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Courses What course are functions and operators (eg differential operator) introduced?

  1. Dec 6, 2009 #1
    I am about to start a graduate program in signal processing. A lot of the literature that I've been recently browsing, uses the concept of operators on functions - such as a differential, or Fourier transform operator. I really like this "framework" (for lack of understanding) but have never seen a formal introduction to it - it just started appearing.

    Is there a specific course where this terminology and notation is introduced?
  2. jcsd
  3. Dec 6, 2009 #2
    Um not quite clear, but are you asking where Fourier transforms first show up? Undergraduate engineers and math majors learn all about them. They're first covered in a differential equations course and engineers start using them (and laplace transforms and the ilk) in the linear time signals analysis I course, which is the first course in the signal processing sequence.
  4. Dec 6, 2009 #3
    I think a graduate course in functional analysis is what you are looking for.
  5. Dec 6, 2009 #4
    functional analysis, partial differential equations, and advanced differential equations will get u used to using fourier transformation, differential operators and functionals.
  6. Dec 6, 2009 #5
    my professor, Dr. Christian Constanda has written some incredible books for both PDE and ADE if u need books on these subjects search his name it doesn't get more clear than him!
  7. Dec 6, 2009 #6
    Yep, functional analysis is what you're looking for.
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