Delta Sequence

A delta sequence is a sequence of strongly peaked functions for which


so that in the limit as n->infty, the sequences become delta functions.

Examples include

delta_n(x)={0 for x<-1/(2n); n for -1/(2n)<x<1/(2n); 0 for x>1/(2n)

(Arfken 1985, pp. 482 and 488-489).

See also

Delta Function

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Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, 1985.

Referenced on Wolfram|Alpha

Delta Sequence

Cite this as:

Weisstein, Eric W. "Delta Sequence." From MathWorld--A Wolfram Web Resource.

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