The Traits of Orthogonal Nonseparable Binary-Variable Wavelet Packs in Two-Dimensional Function Space - Advanced Research on Computer Education, Simulation and Modeling - page 65

αβ = , λμ ≠ . αβ ≠ λμ∈Ω , . If then Similar to Case 1, (21) holds. If ,

r r 0

r r r r r r

Similar to Lemma 1, we conclude that

1

∫

Λ⋅Λ⋅− (), ( k ) = Λ () ω Λ () ω ⋅ ed

ik ω

ω

4 m + λ 4 n + μ

m n

2

2

11 1 1

(2 π )

R

1

r

ω

r

∏ ∏

∫

= { B

()

λ

( )} ⋅ O ⋅ { B

()

μ

( ω / 2 )}

ι

⋅ e d

ik ω

ω = O .

r + 12

2 ι

(2 π )

[0,2 π ]

2

ι = 1 ι = 1

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