Search results with tag "Green s functions"

Green’s functions - University of Arizona

These objects are sometimes called generalized functions or distributions. The most basic one of these is the so-called -function. For each >0, define the family of ordinary functions (x) = 1 p ˇ e 2x = 2: (3) When is small, the graph of (figure 1) is essentially just a spike at x = 0, but the integral of is exactly one for any .

  Functions, Green, Green s functions