Quasi-analytic vectors

Quasi-analytic Vectors and Quasi-analytic Functions

Analytic vectors in continuous p-adic representations

Given a compact p-adic Lie group G over a finite unramified extension L/Qp let GL/Qp be the product over all Galois conjugates of G. We construct an exact and faithful functor from admissible G-Banach space representations to admissible locally L-analytic GL/Qp -representations that coincides with passage to analytic vectors in case L = Qp. On the other hand, we study the functor ”passage to an...

Invariantly Universal Analytic Quasi - Orders Riccardo

We introduce the notion of an invariantly universal pair (S, E) where S is an analytic quasi-order and E ⊆ S ∩S is an analytic equivalence relation. This means that for any analytic quasi-order R there is a Borel set B invariant under E such that R is Borel equivalent to the restriction of S to B. We prove a general result giving a sufficient condition for invariant universality, and we demonst...

Quasi–convolution of Analytic Functions with Applications

In this paper we define a new concept of quasi-convolution for analytic functions normalized by f (0) = 0 and f ′(0) = 1 in the unit disk E = {z ∈ C: |z| < 1} . We apply this new approach to study the closure properties of a certain class of analytic and univalent functions under some families of (known and new) integral operators.

Local Gevrey and Quasi - Analytic Hypoellipticity For

Introduction. The db complex is well defined on any smooth CR manifold M, and once a metric is fixed, so is the complex Laplace-Beltrami operator Db on forms of type (p, q). For compact M without boundary, the bb cohomology of M may be studied via Ub [6], and thus local smoothness of solutions to Dbu = ƒ is important. In its own right, Ub is a prototype of doubly characteristic operators. Under...