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## Main Question or Discussion Point

is there a form to define the dirac delta function for complex values ? i mean

[tex] \delta (x-a-bi) [/tex] or [tex] \delta (-ix) [/tex]

using 'test functgions' i get that they converge nowhere (always infinite) which makes no sense at all, using scalling properties we could define

[tex] \delta (ix) = \delta(x) [/tex] since modulus of 'i' is just one but i am not completely sure.

[tex] \delta (x-a-bi) [/tex] or [tex] \delta (-ix) [/tex]

using 'test functgions' i get that they converge nowhere (always infinite) which makes no sense at all, using scalling properties we could define

[tex] \delta (ix) = \delta(x) [/tex] since modulus of 'i' is just one but i am not completely sure.