D.7 DOUBLE INTEGRALS OF SPECIAL FUNCTIONS
Finally, we summarize some double integrals of a few special functions of two variables. They include , u(x−y), min(x, y), max(x, y), and |x−y|. Some of these are useful in Chapter 7 on mean-square calculus where the autocorrelation function RXX(t1, t2) for nonstationary random process X(t) is integrated. All the results depend on which upper limit is larger.
- Dirac delta function . This function is nonzero on the x–y-plane for all x = y. When it is integrated over y, unit-step functions are obtained along the line ...
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