T H E EFFICACY O F U M F 0 7 8 O N ACANTHO-

CAUCHY'S THEOREM AND ITS

Due to their general philosophical character these investigations of Hjelmslev created great interest beyond the sphere of the mathematicians.. Naturally different

The establishment of a theory of the sigma func- tions directly from these differential equations would appear likely to be of the greatest suggestiveness for

I In the present paper we are concerned with the same special case and employ the like representation though instead of treating our function with

Pour montrer avec quelle facilit6 ce th~or~me se prate aussi aux recherches de la thdorie des fonctions transcendantes enti~res, soit f(z) une telle fonction,

Later on the identity (6) was used to obtain estimates from below for analytic capacity [Me] and to describe uniform rectifiability via the mapping properties

We prove that, if 7 is a simple smooth curve in the unit sphere in C n, the space o pluriharmonic functions in the unit ball, continuous up to the boundary, has a

We shall describe a few such conditions (they are separately sufficient), but we are not aiming at a complete discussion of the question. Then there is a