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Hi everyone,

I have trouble understanding the multiple delta function. For one dimensional delta function, we have

δ([itex]\varphi[/itex](x))=[itex]\sum_{i=1}^{N}[/itex]δ(x−xi)|[itex]\varphi[/itex]′(xi)|

where xi's (for i = 1 to N) are simple zeros of f(x) and it is known that f(x) has no zeros of multiplicitiy > 1

but what is the case of multiple delta function

δ(f(x,y))=?

PS:This my first time to this forum, I'm not familiar with Latex. Sorry for the caused inconvenience.

I have trouble understanding the multiple delta function. For one dimensional delta function, we have

δ([itex]\varphi[/itex](x))=[itex]\sum_{i=1}^{N}[/itex]δ(x−xi)|[itex]\varphi[/itex]′(xi)|

where xi's (for i = 1 to N) are simple zeros of f(x) and it is known that f(x) has no zeros of multiplicitiy > 1

but what is the case of multiple delta function

δ(f(x,y))=?

PS:This my first time to this forum, I'm not familiar with Latex. Sorry for the caused inconvenience.

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