Let 
be a linear functional acting according to the
formula
 |  |  |
(1)
|
 |  |  |
(2)
|
where 
and 
is the space of test functions. Then Sokhotsky's formula states that
 |
(3)
|
where 
is the delta function (Vladimirov 1971, pp. 75-76).
Sokhotsky's Formula
See also
Delta FunctionExplore with Wolfram|Alpha
References
Vladimirov, V. S. Equations of Mathematical Physics. New York: Dekker, 1971.Referenced on Wolfram|Alpha
Sokhotsky's FormulaCite this as:
Weisstein, Eric W. "Sokhotsky's Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SokhotskysFormula.html