Quasi-analytic vectors and quasi-analytic functions

Quasi-analytic Vectors and Quasi-analytic Functions

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.

Quasi - Hadamard product of certain classes of uniformly analytic functions

In this paper, we establish certain results concerning the quasiHadamard product of certain classes of uniformly analytic functions. 2000 Mathematics Subject Classification: 30C45.

On Quasi-Hadamard Product of Certain Classes of Analytic Functions

The main purpose of this paper is to derive some quasi-Hadamard product properties for certain classes of analytic functions which are defined by means of the Salagean operator. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.

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...