Spectral representations for solutions of certain abstract functional equations

The first one is a re- interpretation of the classical proof of an implicit functions theorem in an ILB setting, for which our setting enables us to state an implicit functions

Repr´ esentation capacitaire des solutions positives d’´ equations paraboliques semi-lin´ eaires.. R´

3 Research partially supported by a grant from the Israel Science Foundation, administered by the Israel Academy of Sciences... These large deviations are essential tools in the

– The purpose of this note is to give a strange relation between the dimension of certain unipotent representations of finite Chevalley groups of type G 2 , F 4 , and E 8 on the

L’accès aux archives de la revue « Annali della Scuola Normale Superiore di Pisa, Classe di Scienze » ( http://www.sns.it/it/edizioni/riviste/annaliscienze/ ) implique l’accord

In this section, we give the main theorem in this paper (cf. Theorem 3.3); a necessary and sufficient condition for the reducibility of a representation obtained

Otherwise the spectral analysis proves the existence of special solutions (automorphisms) of the functional equations in the homogeneous case; see e.g. This means that we have only

Nevertheless, we show that when the local structure of ρ n “mimics” the (mod p n reduction of) the local structure of the p-adic Galois representation attached to a p-ordinary