Examples of using Complex variable in English and their translations into Danish
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This work is important in the study of functions of a complex variable.
Even in the case of one complex variable the Carleman formula depends on the domain D and on the set M.
Functions of real variables(1936), and Functions of a complex variable 1936.
After 1925 Vallée Poussin turned to complex variable, potential theory and conformal representation.
Montel worked mostly on the theory of analytic functions of a complex variable.
He was particularly interested in the courses in complex variable, integral equations and differential equations.
Most of his publications were in the area of functions of a complex variable.
However more than half of his papers were on functions of a complex variable, differential equations, and differential geometry.
Zolotarev emphasised the relationship between elliptic functions and functions of a complex variable.
He was appointed professor of the theory of functions and complex variable there and he held this post for the rest of his life.
His first book was his most famous,namely The theory of functions of a complex variable 1935.
Watson worked on a wide variety of topics,all within the area of complex variable theory, such as difference equations, differential equations, number theory and special functions.
In the autumn of 1881 Mellin defended his doctoral dissertation on algebraic functions of a single complex variable.
Lavrentev headed the Department of the Theory of Functions of a Complex Variable at the Steklov Mathematical Institute.
In recognition of her distinguished contributions to analysis andthe theory of functions of a real and complex variable.
In 1893 he published Theory of functions of a complex variable which had such an impact at Cambridge that function theory dominated there for many years. Whittaker writes in that this text.
He worked on conjugate functions in multidimensional euclidean space andthe theory of functions of a complex variable.
For this work on spectral sequences andhis work developing complex variable theory in terms of sheaves, Serre was awarded a Fields Medal at the International Congress of Mathematicians in 1954.
Many of these mathematicians turned to other topics such as topology, differential equations,and functions of a complex variable.
His work is in many areas of mathematics including differential equations,functions of a complex variable, functions of several complex variables, measure theory and differential geometry.
It investigated in detail Cauchy-type integrals which played an important role in boundary value problems in the theory of functions of a complex variable.
Other topics to which he made major contributions included entire functions of a complex variable and, working with Hardy, integral equations.
His scientific interests relate principally to the theory of trigonometric series, the theory of orthogonal series andthe problem of monogenity of functions of a complex variable.
His doctoral studies were supervised by Paul Montel,whose research interests were the theory of analytic functions of a complex variable, and Cartan received his Docteur ès Sciences mathématiques in 1928.
His work is based entirely on things that he learnt during his student days(before 1850),whereas he seems to have been ignorant of newer developments in analysis such as the theory of functions of one complex variable.
Before the age of 30 he developed the concept of automorphic functions which are functions of one complex variable invariant under a group of transformations characterised algebraically by ratios of linear terms.
At this time he had two texts published based on the lectures he gave in Peking:Functions of real variables(1936), and Functions of a complex variable 1936.
The topics he taught, rotating them from year to year, included calculus, algebra, mechanics,differential equations, complex variable, probability, number theory, potential theory, approximation theory, and function theory.
While he did this evening teaching he also attended lectures at Moscow University,the first course he attended being the theory of functions of a complex variable by Lavrentev.
The theory of functions of several complex variables has gone from its infancy with the work of Hartogs, Levi and Poincaré shortly after the turn of the century to its current role as a central field of modern mathematics, much as its predecessor,function theory in one complex variable, did in the 19th century.