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Serie II numero 81 - Dipartimento di Matematica e Informatica

Serie II numero 81 - Dipartimento di Matematica e Informatica

Serie II numero 81 - Dipartimento di Matematica e Informatica

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192 L. HEINRICH<br />

© ¥ §© §¥ ¥ ¥§<br />

∗<br />

χ(C) =1 C = ∅ χ(∅) =0<br />

§© <br />

¥ §¥§ ¥ §©§ <br />

i1,...,id−k ≥ 1<br />

Ψ (d)<br />

k (Kϱ) ¥§§© ¥ k− § Φ (d) ©§§¥<br />

λ,Θ<br />

Kϱ<br />

§© ¥ §© §§<br />

k− Kϱ<br />

© ζ (d)<br />

k (Kϱ)<br />

§§¥¥¥ §§<br />

§¥ §£§£¥§£§£§©<br />

© ¥ ¦ ¥§©§§¥ ¥<br />

ϱ →∞<br />

IR 1 × S d−1<br />

+<br />

§ ¥ ¥¥ ¥<br />

Ψ<br />

¥¨§© §<br />

<br />

1 ¥¥<br />

IR<br />

<br />

§§¥ ¥<br />

<br />

¥¨ ¥ §£ §¥§©<br />

§¦ §© ¥§ ¥ § ¥<br />

¥<br />

¥§§¥<br />

§©<br />

N(Kϱ) =#{i ≥ 1:H(Pi,Vi) ∩ Kϱ = ∅} = <br />

χ(H(Pi,Vi) ∩ Kϱ)<br />

© ¥©§§¥ <br />

Kϱ N(Kϱ) =n §© ¥ § X (ϱ)<br />

i =<br />

(Pi,Vi) i =1,...,n £ ¥§¥¥¥¥ § ¥ ¥<br />

<br />

N(Kϱ)<br />

§ ¥ § §§ ¤¤¡ §©¥§§¥<br />

¥¥<br />

Q (ϱ)<br />

Θ (·) ©©¥ B ∈ B1 ¥ S ∈ Bd ∩ S d−1 <br />

+<br />

©<br />

Q (ϱ)<br />

Θ (B × S) =<br />

1<br />

bΘ(K)<br />

<br />

bΘ(K) =<br />

IR 1<br />

<br />

S d−1<br />

+<br />

§ § <br />

Xi = X (1) <br />

¥ §§©§§¥<br />

i<br />

(1)<br />

Q Θ<br />

Ψ (d)<br />

k (Kϱ)<br />

ζ (d)<br />

k (Kϱ)<br />

d<br />

=<br />

d<br />

=<br />

<br />

B<br />

<br />

S<br />

i≥1<br />

χ(H(ϱ −1 p, v) ∩ K) Θ(dv)dp,<br />

χ(H(p, v) ∩ K) Θ(dv)dp.<br />

¦<br />

i =1, 2,... ¥§ §©¥<br />

¥§<br />

£© §<br />

X0<br />

(·)<br />

<br />

1≤i1

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