Let (x) satisfy the Daubechies scaling equation (9 153) Prove that if (i) 0 for any i 0 or i p, then supp is unbounded p(x) 1 3 4 y(2x) 3 3 4 3 3 4 (2x 1) 4 (2x 2) 1 y(2x 3) 1 3 (9 153)...

To prove that the support of is unbounded we will assume that the support is bounded and derive a co ...

Let (x) satisfy the Daubechies scaling equation (9.153). Prove that if (i) 0 for any i

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Let φ(x) satisfy the Daubechies scaling equation (9.153). Prove that if φ(i) ≠ 0 for any i ≤ 0 or i ≥ p, then supp φ is unbounded.

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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 08:40 AM

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Let (x) satisfy the Daubechies scaling equation (9.153). Prove that if (i) 0 for any i

Question:

p(x)= || 1+√3 4 y(2x) + 3+√3 4 3-√√√3 4 (2x-1) +- ²4 (2x − 2) + ¹ = 1 -y(2x - 3). 1-√√√3 (9.153)

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To prove that the support of is unbounded we will assume that the support is bounded and derive a co...View the full answer

Applied Linear Algebra

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