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[MUG] Re: Dirac delta
| [MUG] Re: Dirac delta |
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Author: John Harper
Posted: Thu, 8 Aug 2002 14:51:46 +1200 (
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>> From: John Harper "John.Harper"
I once had the problem of using a Dirac delta function at an end-point in
a research paper (Geophys.J.Roy.Astron.Soc. 55, 87-110, 1978; see p.103).
I said "delta denotes an asymmetric Dirac delta function such that
int(f(x)*delta(x),x=0..1)=f(0)". I had to give a definition because the
difficulty arises so seldom that there is no standard way out of it.
Nobody complained. I needed only x in [0,1], otherwise I might have said
int(f(x)*delta(x),x=-infinity..infinity) =
int(f(x)*delta(x),x=0..infinity) = f(0).
John Harper, School of Mathematical and Computing Sciences,
Victoria University, PO Box 600, Wellington, New Zealand
e-mail "john.harper" phone (+64)(4)463 5341 fax (+64)(4)463 5045
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