Analyse harmonique, analyse complexe et géométrie des espaces de Banach
Analyse non linéaire de l'opérateur défini par l'intégrale de Cauchy
Analyse -adique
Analysis in complex quaternions and its connections with mathematical physics
Analytic aspects of quasiconformality.
Analytic capacity
Analytic capacity and linear measure
Analytic capacity, Calderón-Zygmund operators, and rectifiability
For K ⊂ C compact, we say that K has vanishing analytic capacity (or γ(K) = 0) when all bounded analytic functions on CK are constant. We would like to characterize γ(K) = 0 geometrically. Easily, γ(K) > 0 when K has Hausdorff dimension larger than 1, and γ(K) = 0 when dim(K) < 1. Thus only the case when dim(K) = 1 is interesting. So far there is no characterization of γ(K) = 0 in general, but the special case when the Hausdorff measure H1(K) is finite was recently settled. In this...
Analytic classes on subframe and expanded disk and the s differential operator in polydisk.
Analytic Cliffordian functions.
Analytic continuation by means of the methods of divergent series
Analytic continuation for some classes of separately analytic functions of real variables
For functions that are separately solutions of an elliptic homogeneous PDE with constant coefficients, we prove an analogue of Siciak's theorem for separately holomorphic functions.
Analytic continuation of Dirichlet series.
The questions considered in this paper arose from the study [KS] of I. Fredholm's (insufficient) proof that the gap series Σ0∞ an ζn2 (where 0 < |a| < 1) is nowhere continuable across {|ζ| = 1}. The interest of Fredholm's method ([F],[ML]) is not so much its efficacy in proving gap theorems (indeed, much more general results can be got by other means, cf. the Fabry gap theorem in [Di]) as in the connection it made between certain special gap series and partial differential equations...
Analytic continuation of functions difined by means of continued fraction.
Analytic families of quasi-conformal mappings
Analytic First Integrals of Ordinary Differential Equations
Analytic formulas for the hyperbolic distance between two contractions
In this paper we give some analytic formulas for the hyperbolic (Harnack) distance between two contractions which permit concrete computations in several situations, including the finite-dimensional case. The main consequence of these formulas is the proof of the Schwarz-Pick Lemma. It modifies those given in [13] by the avoidance of a general Schur type formula for contractive analytic functions, more exactly by reducing the case to the more manageable situation when the function takes as values...
Analytic functions and collapsing products.
Analytic functions in a lacunary end of a Riemann surface
Let be an end of a Riemann surface with null boundary and let be a lacunary end with a closed set . We study minimal functions in and to show that and have similar properties if is thinly distributed on the ideal boundary. We discuss the behaviour of analytic functions in and relation between the existence of analytic functions of some classes in and the structure of Martin’s boundary points over the end . Also we show that the existence of complicated Martin’s boundary points...
Analytic functions in the unit disc sharing values in a sector
We deal with the uniqueness of analytic functions in the unit disc sharing four distinct values and obtain two theorems improving a previous result given by Mao and Liu (2009).