## a weak derivative?

Who?
Stefan W. von Deylen (FU Berlin)
When?
2011/02/18, 16:30
Where?
TU Berlin, at the BMS Seminar Room (MA212)
Of course, all of you know the partial integration rule: $\int f' g = - \int f g'$ plus some boundary term we will impudently ignore. In your Analysis I course, both functions needed to be differentiable. But what if $f$ were piecewise differentiable? Perhaps even with jumps in the function values? Or unbounded, yet still integrable? In this talk, we will think about other ways to define $f'$ while keeping this equation valid. More precisely, we require nothing from real calculus, only this single equation.