# Questions tagged [dirac-delta]

This tag is for questions involving the Dirac delta function, either in the informal sense, or in the distribution sense. The Dirac delta function is a mathematical construct which is called a generalized function or a distribution and was originally introduced by the British theoretical physicist Paul Dirac.

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### What is the product of a Dirac delta function with itself? [closed]

What is the product of a Dirac delta function with itself? What is the dot product with itself?
4answers
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### Dirac Delta and Exponential integral

I am able to derive the following equation by substituting the definition of a Fourier transform into it's inverse. $$2\pi\delta(x-x') = \int_{-\infty}^{\infty} e^{ik(x-x')} dk$$ How do you prove ...
2answers
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### Is $\delta$ in $L^\infty$?

I think the question title says is all. I am wondering, is the Dirac delta in the Lebesgue space $L^\infty$?
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1answer
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### How to define a delta function on complex plane?

I understand that it makes perfect sense to define a 2-dimensional delta function on the complex plane by $$\int dz\wedge d\bar{z}\delta(z)\delta(\bar{z})=1.$$ However, is there any chance to define a ...
3answers
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### delta function on a complex number

for a real number we know that $$f(a)= \int_{-\infty}^{\infty}dx \delta (x-a)f(x)$$ but what happens for $$\int_{-\infty}^{\infty}dx \delta (x-2i)f(x)$$ ? is this equal to $f(2i)$ or equal ...
1answer
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### Dirac Delta function and Lebesgue-measurability

Baaquie, in "Quantum Finance", states that the Dirac Delta function is unmeasurable, since it "has support on a set that has zero measure" What is a "support"? What kind of mathematical object is it (...
2answers
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