07/21/2010, 10:34 PM
sheldon , you write " if -real(z) is large enough ..."
do you mean if real(z) is a large negative number ?
but then it isnt periodic for all real(z) so its rather " pseudoperiodic ".
then we approximate periodicity in the section with large negative real parts in the imaginary direction.
weird , in comparison with kouznetsov sexp which approximates periodicity in the section with large imaginary parts in the real direction.
thats the same property rotated by 90 degrees ??
hmm
wouldnt by that logic almost every superfunction be periodic ??
i mean => af = f ' (0) * f(x)
lim n-> oo af^[n] ( a^(z-n) )
real(z) << -10
since a^z is periodic in direction Q , with period i*2pi/ln(a) , then the superfunction of af is also periodic with that period.
... by analogue ...
????
sorry if im mistaken in advance.
regards
tommy1729
do you mean if real(z) is a large negative number ?
but then it isnt periodic for all real(z) so its rather " pseudoperiodic ".
then we approximate periodicity in the section with large negative real parts in the imaginary direction.
weird , in comparison with kouznetsov sexp which approximates periodicity in the section with large imaginary parts in the real direction.
thats the same property rotated by 90 degrees ??
hmm
wouldnt by that logic almost every superfunction be periodic ??
i mean => af = f ' (0) * f(x)
lim n-> oo af^[n] ( a^(z-n) )
real(z) << -10
since a^z is periodic in direction Q , with period i*2pi/ln(a) , then the superfunction of af is also periodic with that period.
... by analogue ...
????
sorry if im mistaken in advance.
regards
tommy1729