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Table B.1

Central behavior of the first terms in the spectral expansion in different cases.

u,   v w

m = 0    and    par = 1 u1 ∝ ζ0    w2 ∝ ζ2
u3 ∝ ζ2    w4 ∝ ζ4

m ≠ 0    and    par = 0 u | m |  ∝ ζ | m | − 1    w | m | + 1 ∝ ζ | m | + 1
u | m | + 2 ∝ ζ | m | + 1    w | m | + 3 ∝ ζ | m | + 3

m = 0    and    par = 0 u0 ∝ ζ   , v0 ≡ 0 w1 ∝ ζ
u2 ∝ ζ    w3 ∝ ζ3

m ≠ 0    and    par = 1 u | m | + 1 ∝ ζ | m |     w | m |  ∝ ζ | m | 
u | m | + 3 ∝ ζ | m | + 2    w | m | + 2 ∝ ζ | m | + 2

Notes. In blue are given the odd modes and in red the even modes.

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