• Aucun résultat trouvé

(a) Show that the polynomial hullKb is compact, coincides with the holomorphic hull KbO= z∈Cn/|f(z)| ≤sup K |f|, ∀f ∈O(Cn) and thatKb =∂K.d (b) Prove that Kb is contained in the convex hull Ke of K

N/A
N/A
Info
Télécharger
Protected

Academic year: 2022

Partager "(a) Show that the polynomial hullKb is compact, coincides with the holomorphic hull KbO= z∈Cn/|f(z)| ≤sup K |f|, ∀f ∈O(Cn) and thatKb =∂K.d (b) Prove that Kb is contained in the convex hull Ke of K"

Copied!
2
0
0

Chargement.... (Voir le texte intégral maintenant)

Texte intégral

Références

Télécharger maintenant ( PDF - 2 Page - 216.02 KB )

Documents relatifs

bbb" f(z):zr. k-p. f /

The main cause of this similarity is that the classes z2*c and eo" eachhave inverse functions with precisely one (finite) singularity and thus form the

L~(F\G/K)is ~(G/K). hi(D)~, h~(D) ~(G/K) -+ C DE~(G/K) DEO(G/K)and L2(F\G/K) /(Txk) =/(x), 7 E F, x E G, k E K. ~(G/K) automorphic /(xk)=/(x), L2(F\G/K ) xEG (x)for F\G/K G/K ASYMPTOTIC BEHAVIOUR OF SPECTRA OF COMPACT QUOTIENTS OF CERTAIN SYMMETRIC SPACES

This analysis, combined with the Plancherel theorem for spherical functions on G/K and standard Tauberian theorems then yields the desired result.. I n his address

f e-('~+''z~-'dz = iw + k)~ s, (,)

La fonction sous le

Definition. f(A)=BI(X). BI (X) c f (A) A~X x=limf(z,) {z,}cA xET T, =f(K(r, Zo)n A). K(r, z) (xtu). xEX uEX" SeX The range of vector-valued analytic functions

As the main result of the present paper we prove that A is approximately ana- lytically dense in every balanced subset of a separable complex Banach space.. We

If f is a multiplicative function, prove that X d|n µ(d)f(d

[r]

donc Z k+1n k n f(x)−f k n + 1 2n dx ≤ kf00k∞ 24n3 + f(3

[r]

M2R Universit´e Grenoble Alpes 2019-2020 Introduction to analytic geometry (course by Jean-Pierre Demailly) Sheet number 2, 10/10/2019 1.

Analytic hypersurfaces – very direct application of the course... check that we do have a topology – this

(3) Montrer que ∀z∈Z, Rés(πf(z)cotg(πz), k) =f(k)

(c) À quel contexte mécanique pourrait être associé cette équation différentielle. (d) Pourriez-vous donner un exemple de distribution associé