Recent content by gvenkov
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Graduate How to Prove the Dirac Delta Function as a Limit?
Dirac limit To do this I have to define the scalar product of a distribution and an arbitrary test function, and an appropriate norm. -
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Graduate How to Prove the Dirac Delta Function as a Limit?
Thak you very much for the help with the text. George -
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Graduate How to Prove the Dirac Delta Function as a Limit?
Dear all, I need a simple proof of the following: Let [tex]u \in C(\mathbb{R}^3)[\tex] and [tex]\|u\|_{L^1(\mathbb{R}^3)} = 1[\tex]. For [tex]\lambda \geq 1[\tex], let us define the transformation [tex]u\mapsto u_{\lambda}[\tex], where [tex] u_{\lambda}(x)={\lambda}^3 u(\lambda...