Re: Dirac-Delta function

From: robert j. kolker (nowhere_at_nowhere.net)
Date: 10/03/04


Date: Sun, 03 Oct 2004 09:18:08 -0400


Adam wrote:

> Hi,
>
> I would like to know what mathematicians think of the Dirac-Delta function.
> Also, what the pure mathematics way of writing and defining it would be.

A Diract delta "function" is not really a function. It is -functional-
defined over a set of infinitely differentiable functions with compact
support.

See http://mathworld.wolfram.com/GeneralizedFunction.html

for the details. The Dirac thingy is called a -distribution- and is not
really a function at all.

Bob Kolker



Relevant Pages

  • Re: Dirac-Delta function
    ... what the pure mathematics way of writing and defining it would be. ... > defined over a set of infinitely differentiable functions with compact ...
    (sci.math)
  • Re: Dirac-Delta function
    ... > I would like to know what mathematicians think of the Dirac-Delta function. ... what the pure mathematics way of writing and defining it would be. ...
    (sci.math)
  • Dirac-Delta function
    ... I would like to know what mathematicians think of the Dirac-Delta function. ... what the pure mathematics way of writing and defining it would be. ... Let h denote the delta function. ...
    (sci.math)