A jump occurs when both finite one-sided limits of a function exist but differ. Unlike an isolated change in value, a jump changes limiting values on whole one-sided neighbourhoods. One-sided Fourier spectrum excludes jumps explains an obstruction to jumps for functions with only nonnegative Fourier coefficients.

Ancestors (9)

  1. Discontinuity of a function
  2. Continuous function
  3. Limit of a function
  4. Calculus
  5. Real analysis
  6. Analysis
  7. Area of mathematics
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