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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: dirac delta function is not a TRUE function??
Replies: 11   Last Post: Jul 19, 2011 11:08 PM

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Gerry Myerson

Posts: 4,919
Registered: 12/6/04
Re: dirac delta function is not a TRUE function??
Posted: Jul 18, 2011 7:12 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article <j01rvc$o76$1@dont-email.me>,
mstemper@walkabout.empros.com (Michael Stemper) wrote:

> In article <gerry-E6603D.09354915072011@news.eternal-september.org>, Gerry
> Myerson <gerry@maths.mq.edi.ai.i2u4email> writes:
> >
> >You could try to think of delta as a function
> >from the reals to the extended reals, the extended
> >reals being "the reals union infinity", but that
> >won't help you to understand why
> >integral from minus infinity to infinity of f(x) delta(x) dx
> >is f(0).
>
> It's been a long time since I studied this, but isn't that true for
> the integral from minus epsilon to epsilon (for any positive epsilon),
> as well?

Yes.

--
Gerry Myerson (gerry@maths.mq.edi.ai) (i -> u for email)

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