[jordigh]

I find it funny how you think of differentiation in terms of "frequency domain", "bandlimit" and "filter". Very signal-processy, very engineery. A mathematician would speak about unbounded operators in a Banach space. :-)

Edit: Reminds me of the list on page 3 here: http://arxiv.org/pdf/math/9404236v1

[backprojection]

> I find it funny how you think of differentiation in terms of "frequency domain", "bandlimit" and "filter". Very signal-processy, very engineery. A mathematician would speak about unbounded operators in a Banach space. :-)

This more or less depends on what kind of mathematician you're talking to. A mathematician working on Frames and signals almost certainly uses that language. But someone working in PDEs probably doesn't, even if the theory intersects a lot. It's probably a sign that there's nothing wrong with mathematicians and engineers sharing concepts :).