
(1) 
where is the Delta Function, so
for
(i.e., not an Integer). The
shah function obeys the identities
for (i.e., a halfinteger).
It is normalized so that

(5) 
The ``sampling property'' is

(6) 
and the ``replicating property'' is

(7) 
where denotes Convolution.
See also Convolution, Delta Function, Impulse Pair
© 19969 Eric W. Weisstein
19990526