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= 0 <br />
f(r, θ, ϕ) =<br />
∞<br />
ℓ<br />
ℓ=0 m=−ℓ<br />
r ℓ<br />
∞<br />
i=0<br />
fiℓmr 2i Y m<br />
ℓ (θ, ϕ). <br />
<br />
<br />
fℓm(r) <br />
<br />
fℓm(r) ℓ <br />
ℓ <br />
f(r, θ, ϕ) =<br />
∞<br />
ℓ<br />
∞<br />
ℓ=0 m=−ℓ i=0<br />
fiℓmTi(r)Y m<br />
ℓ (θ, ϕ), <br />
i ℓ <br />
r ℓ <br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
<br />
Hf(r) = s(r). <br />
H <br />
{ ˜si}i∈[0,N−1] N <br />
s { ˜ fi}i∈[0,N−1] <br />
N <br />
<br />
xi Hf(xi) = s(xi)<br />
<br />
<br />
f s N <br />
H <br />
N <br />
H <br />
<br />
H <br />
<br />
f {si}