 In other words, compactly supported tempered distributions 
formula_185 belong to the space of "convolution operators" formula_406 and
Paley-Wiener functions formula_416, better known as bandlimited functions, 
belong to the space of "multiplication operators" formula_407.For example, let formula_418 be the Dirac comb and 
formula_419 be the Dirac delta then 
formula_420 is the function that is constantly one and both equations yield the
Dirac comb identity.Another example is to let formula_421 be the Dirac comb and
formula_422 be the rectangular function then 
formula_423 is the sinc function and both equations yield the
Classical Sampling Theorem for suitable formula_424 functions.