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David Corfield asked the following questions yesterday: Is the $n$-dimensional Fourier transform of $\exp(-\|x\|)$ always non-negative, where $\|\cdot\|$ is the Euclidean norm on $\Bbb R^n$? What is its support?

I want to ask a more general question: what happens when $\|\cdot\|$ is the $p$-norm, for arbitrary $p\in [1, 2]$?

David's question, and Josh Shadlen's helpful answer, are is here: Is the Fourier transform of $\exp(-\|x\|)$ non-negative?

David Corfield asked the following questions yesterday: Is the $n$-dimensional Fourier transform of $\exp(-\|x\|)$ always non-negative, where $\|\cdot\|$ is the Euclidean norm on $\Bbb R^n$? What is its support?

I want to ask a more general question: what happens when $\|\cdot\|$ is the $p$-norm, for arbitrary $p\in [1, 2]$?

David's question, and Josh Shadlen's helpful answer, are here: Is the Fourier transform of $\exp(-\|x\|)$ non-negative?

David Corfield asked the following questions yesterday: Is the $n$-dimensional Fourier transform of $\exp(-\|x\|)$ always non-negative, where $\|\cdot\|$ is the Euclidean norm on $\Bbb R^n$? What is its support?

I want to ask a more general question: what happens when $\|\cdot\|$ is the $p$-norm, for arbitrary $p\in [1, 2]$?

David's question is here: Is the Fourier transform of $\exp(-\|x\|)$ non-negative?

Math Jaxed
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Daniele Tampieri
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Fourier transform of exp$\exp(-||x||_p\|x\|_p)$: more general question

David Corfield asked the following questions yesterday: Is the n$n$-dimensional Fourier transform of exp(-||x||)$\exp(-\|x\|)$ always non-negative, where ||.||$\|\cdot\|$ is the Euclidean norm on R^n$\Bbb R^n$? What is its support?

I want to ask a more general question: what happens when ||.||$\|\cdot\|$ is the p$p$-norm, for arbitrary p in [1, 2]$p\in [1, 2]$?

David's question, and Josh Shadlen's helpful answer, are here: Is the Fourier transform of $\exp(-\|x\|)$ non-negative?

Fourier transform of exp(-||x||_p): more general question

David Corfield asked the following questions yesterday: Is the n-dimensional Fourier transform of exp(-||x||) always non-negative, where ||.|| is the Euclidean norm on R^n? What is its support?

I want to ask a more general question: what happens when ||.|| is the p-norm, for arbitrary p in [1, 2]?

David's question, and Josh Shadlen's helpful answer, are here: Is the Fourier transform of $\exp(-\|x\|)$ non-negative?

Fourier transform of $\exp(-\|x\|_p)$: more general question

David Corfield asked the following questions yesterday: Is the $n$-dimensional Fourier transform of $\exp(-\|x\|)$ always non-negative, where $\|\cdot\|$ is the Euclidean norm on $\Bbb R^n$? What is its support?

I want to ask a more general question: what happens when $\|\cdot\|$ is the $p$-norm, for arbitrary $p\in [1, 2]$?

David's question, and Josh Shadlen's helpful answer, are here: Is the Fourier transform of $\exp(-\|x\|)$ non-negative?

replaced http://mathoverflow.net/ with https://mathoverflow.net/
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David Corfield asked the following questions yesterday: Is the n-dimensional Fourier transform of exp(-||x||) always non-negative, where ||.|| is the Euclidean norm on R^n? What is its support?

I want to ask a more general question: what happens when ||.|| is the p-norm, for arbitrary p in [1, 2]?

David's question, and Josh Shadlen's helpful answer, are here: Is the Fourier transform of $\exp(-\|x\|)$ non-negative?Is the Fourier transform of $\exp(-\|x\|)$ non-negative?

David Corfield asked the following questions yesterday: Is the n-dimensional Fourier transform of exp(-||x||) always non-negative, where ||.|| is the Euclidean norm on R^n? What is its support?

I want to ask a more general question: what happens when ||.|| is the p-norm, for arbitrary p in [1, 2]?

David's question, and Josh Shadlen's helpful answer, are here: Is the Fourier transform of $\exp(-\|x\|)$ non-negative?

David Corfield asked the following questions yesterday: Is the n-dimensional Fourier transform of exp(-||x||) always non-negative, where ||.|| is the Euclidean norm on R^n? What is its support?

I want to ask a more general question: what happens when ||.|| is the p-norm, for arbitrary p in [1, 2]?

David's question, and Josh Shadlen's helpful answer, are here: Is the Fourier transform of $\exp(-\|x\|)$ non-negative?

Bounty Ended with Mark Meckes's answer chosen by Tom Leinster
Bounty Started worth 150 reputation by Tom Leinster
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Tom Leinster
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