Question

problem 9.26 from Folland's real analysis Fourier Transform of $ G(x,t) = (4t\pi)^{(-n/2)} e^{{-|x|^2}/{4t}} \chi_{(0,\infty)}(t)$

score 161 · Answer 1 · 2015-09-17 07:47:43

161

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problem 9.26 from Folland's real analysis Fourier Transform of $ G(x,t) = (4t\pi)^{(-n/2)} e^{{-|x|^2}/{4t}} \chi_{(0,\infty)}(t)$

Published on 17 Sep 2015 - 7:47

score 45 · Answer 2 · 2015-09-18 18:57:27

45

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score 38 · Answer 14 · 2015-10-02 12:56:41

38

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score 207 · Answer 15 · 2026-03-26 09:48:01

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List Question

problem 9.26 from Folland's real analysis Fourier Transform of $ G(x,t) = (4t\pi)^{(-n/2)} e^{{-|x|^2}/{4t}} \chi_{(0,\infty)}(t)$

Understanding the embedding of $W^{\infty, 2}$

Does this distribution exist?

How do I show that a distribution is a function?

Distributional derivative of $2$-variable indicator function

The equivalent of "tempered distributions" for the Mellin transform?

Fourier Transform leading to $\delta$: How does the Integration work?

Is $F(x)= \frac{1}{|x|^{r}}, (x\in \mathbb R)$ a distributiuon?

Normal form of currents

Computing the Fourier transform of the distribution $\|x\|^{-\alpha}$.

Is the map $\mathbb R^n\longrightarrow \mathscr{D}^\prime(\mathbb R^n)$, $x\longmapsto k(x, \cdot)$, continuous?

Rudin's application of the mean value theorem

The Green's function of the beam deflection equation

Equation $f=Pu+a\cdot u$ in $\mathscr{D}^\prime(\mathbb T^n)$ and fundamental solutions?

Math major transferred to Electrical Engineering, trying to bridge the gap

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