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Where can i find the proof of dirac's function properties?

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Where can i find the proof of dirac's function properties?

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[tex]\int_{-\infty}^\infty \delta(x) f(x) \;dx = f(0)[/tex]

for suitable test functions [itex]f[/itex].

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HallsofIvy

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This doesn't belong in this area. I am moving it to "Calculus and Analysis"

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Look for a textbook that sounds like "Distribution theory" and you'll find what you need.Where can i find the proof of dirac's function properties?

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arildno

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If you wish to understand what the Dirac delta "really is", and how it might be represented as a sort of "limit", then you may read the following tutorial:Where can i find the proof of dirac's function properties?

https://www.physicsforums.com/showthread.php?t=73447

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HallsofIvy

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arilno, that link is invalid.

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arildno

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I've fixed it now.

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