Prove that the Fourier transformation of (H_{k}(x) phi(x)) is ((i t)^{k} exp left(-frac{1}{2} t^{2}ight)). Hint: Use induction

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Prove that the Fourier transformation of $H_{k}(x) \phi(x)$ is $(i t)^{k} \exp \left(-\frac{1}{2} t^{2}ight)$. Hint: Use induction and integration by parts as in the partial proof of Theorem 7.1.

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Introduction To Statistical Limit Theory

ISBN: 9780367383138

1st Edition

Authors: Alan M. Polansky

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Question Posted: Mar 15, 2024 11:01 PM

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Prove that the Fourier transformation of (H_{k}(x) phi(x)) is ((i t)^{k} exp left(-frac{1}{2} t^{2}ight)). Hint: Use induction

Question:

Theorem 7.1. The Fourier transformation of H(x)o(x) is (it) exp(-t).

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Introduction To Statistical Limit Theory

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