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Student Support Forum: 'Factoring expression with diracdelta' topicStudent Support Forum > General > "Factoring expression with diracdelta"

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Michael
11/14/12 8:17pm

I have this long formula after a fourier transform and non of the transformations seem to be working with any of the assumptions I've tried. I'm trying to group the coefficients in front of the deltas:

[code]-(1/8) I \[Pi] (A Conjugate[
A] DiracDelta[-1 + w\[Alpha]] DiracDelta[-4 + w\[Theta]] +
I B Conjugate[
A] DiracDelta[-1 + w\[Alpha]] DiracDelta[-4 + w\[Theta]] +
I A Conjugate[
B] DiracDelta[-1 + w\[Alpha]] DiracDelta[-4 + w\[Theta]] -
B Conjugate[
B] DiracDelta[-1 + w\[Alpha]] DiracDelta[-4 + w\[Theta]] -
2 A Conjugate[A] DiracDelta[
w\[Alpha]] DiracDelta[-4 + w\[Theta]] -
2 I B Conjugate[A] DiracDelta[
w\[Alpha]] DiracDelta[-4 + w\[Theta]] -
2 I A Conjugate[B] DiracDelta[
w\[Alpha]] DiracDelta[-4 + w\[Theta]] +
2 B Conjugate[B] DiracDelta[w\[Alpha]] DiracDelta[-4 + w\[Theta]] +
A Conjugate[A] DiracDelta[
1 + w\[Alpha]] DiracDelta[-4 + w\[Theta]] +
I B Conjugate[A] DiracDelta[
1 + w\[Alpha]] DiracDelta[-4 + w\[Theta]] +
I A Conjugate[B] DiracDelta[
1 + w\[Alpha]] DiracDelta[-4 + w\[Theta]] -
B Conjugate[B] DiracDelta[
1 + w\[Alpha]] DiracDelta[-4 + w\[Theta]] -
2 I B Conjugate[
A] DiracDelta[-1 + w\[Alpha]] DiracDelta[-2 + w\[Theta]] +
2 I A Conjugate[
B] DiracDelta[-1 + w\[Alpha]] DiracDelta[-2 + w\[Theta]] +
2 I B Conjugate[A] DiracDelta[
1 + w\[Alpha]] DiracDelta[-2 + w\[Theta]] -
2 I A Conjugate[B] DiracDelta[
1 + w\[Alpha]] DiracDelta[-2 + w\[Theta]] +
2 I B Conjugate[A] DiracDelta[-1 + w\[Alpha]] DiracDelta[
w\[Theta]] +
2 I A Conjugate[B] DiracDelta[-1 + w\[Alpha]] DiracDelta[
w\[Theta]] +
8 I A Conjugate[A] DiracDelta[w\[Alpha]] DiracDelta[w\[Theta]] +
4 I B Conjugate[A] DiracDelta[w\[Alpha]] DiracDelta[w\[Theta]] +
4 I A Conjugate[B] DiracDelta[w\[Alpha]] DiracDelta[w\[Theta]] +
8 I B Conjugate[B] DiracDelta[w\[Alpha]] DiracDelta[w\[Theta]] +
2 I B Conjugate[A] DiracDelta[1 + w\[Alpha]] DiracDelta[
w\[Theta]] +
2 I A Conjugate[B] DiracDelta[1 + w\[Alpha]] DiracDelta[
w\[Theta]] -
2 I B Conjugate[A] DiracDelta[-1 + w\[Alpha]] DiracDelta[
2 + w\[Theta]] +
2 I A Conjugate[B] DiracDelta[-1 + w\[Alpha]] DiracDelta[
2 + w\[Theta]] +
2 I B Conjugate[A] DiracDelta[1 + w\[Alpha]] DiracDelta[
2 + w\[Theta]] -
2 I A Conjugate[B] DiracDelta[1 + w\[Alpha]] DiracDelta[
2 + w\[Theta]] -
A Conjugate[A] DiracDelta[-1 + w\[Alpha]] DiracDelta[
4 + w\[Theta]] +
I B Conjugate[A] DiracDelta[-1 + w\[Alpha]] DiracDelta[
4 + w\[Theta]] +
I A Conjugate[B] DiracDelta[-1 + w\[Alpha]] DiracDelta[
4 + w\[Theta]] +
B Conjugate[B] DiracDelta[-1 + w\[Alpha]] DiracDelta[
4 + w\[Theta]] +
2 A Conjugate[A] DiracDelta[w\[Alpha]] DiracDelta[4 + w\[Theta]] -
2 I B Conjugate[A] DiracDelta[w\[Alpha]] DiracDelta[
4 + w\[Theta]] -
2 I A Conjugate[B] DiracDelta[w\[Alpha]] DiracDelta[
4 + w\[Theta]] -
2 B Conjugate[B] DiracDelta[w\[Alpha]] DiracDelta[4 + w\[Theta]] -
A Conjugate[A] DiracDelta[1 + w\[Alpha]] DiracDelta[
4 + w\[Theta]] +
I B Conjugate[A] DiracDelta[1 + w\[Alpha]] DiracDelta[
4 + w\[Theta]] +
I A Conjugate[B] DiracDelta[1 + w\[Alpha]] DiracDelta[
4 + w\[Theta]] +
B Conjugate[B] DiracDelta[1 + w\[Alpha]] DiracDelta[4 + w\[Theta]])[/code]

If anybody has any ideas I'd be very grateful.

Thanks!

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Subject (listing for 'Factoring expression with diracdelta')
Author Date Posted
Factoring expression with diracdelta Michael 11/14/12 8:17pm
Re: Factoring expression with diracdelta Bill Simpson 11/15/12 1:12pm
Re: Re: Factoring expression with diracdelta Peter Pein 11/16/12 01:42am
Re: Factoring expression with diracdelta Nasser M. Ab... 11/15/12 6:24pm
Re: Re: Factoring expression with diracdelta yehuda 11/18/12 12:33pm
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