Prove that (9 147) implies (x l), (x m) 0 for all l m (4(x), 4(x m)) 4(x) 4(x m) dx 0 for all m 0 (9 147)...

To prove that x l x m 0 for all l m we can use the fact that the Fourier transform of a Gaussian fun ...

Prove that (9.147) implies (x l), (x m) = 0 for all l m.

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Prove that (9.147) implies φ(x − l), φ(x − m) = 0 for all l ≠ m.

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Applied Linear Algebra

ISBN: 9783319910406

2nd Edition

Authors: Peter J. Olver, Chehrzad Shakiban

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Question Posted: Apr 28, 2023 08:54 AM

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Prove that (9.147) implies (x l), (x m) = 0 for all l m.

Question:

(4(x), 4(x − m)) = 4(x) 4(x − m) dx = 0 ∞ for all m = 0. (9.147)

Step by Step Answer:

To prove that x l x m 0 for all l m we can use the fact that the Fourier transform of a Gaussian fun...View the full answer

Applied Linear Algebra

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