Examples of using Theory of functions in English and their translations into Hungarian
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Arins wrote papers on the descriptive theory of functions….
He worked on the general theory of functions, concerning relationships between independent and dependent variables.
The influence of  Luzin's dissertation on the future development of  the theory of functions cannot be overestimated.
Burkill's work is all in the theory of functions of  a real variable with its main emphasis on theories of  differentiation and integration.
At the Lycée in Bar-le-Duc Baire worked on the theory of functions and the concept of  a limit.
He published more than eighty papers on these subjects,which have had an exceptionally great effect on the development of  the whole theory of functions.
He contributed important results to the theory of functions of  several variables.
For 35 years he collaborated with G H Hardy working on the theory of  series, the Riemann zeta function, inequalities, and the theory of functions.
From the first, methods of  the theory of functions of  a real variable are employed.
Fourier's work triggered later contributions on trigonometric series and the theory of functions of  real variable.
For his outstanding contributions to the theory of functions of  a real variable, Denjoy received many honours.
Fourier's work provided theimpetus for later work on trigonometric series and the theory of functions of  a real variable.
Mellin's research work was principally in the area of  the theory of functions which resulted from the influence of  his teachers Mittag-Leffler and Weierstrass.
Hurwitz openly expressed his great admiration of  Cantor andproclaimed him as one by whom the theory of functions has been enriched.
At Moscow University Luzin studied under Bugaev, learning from him the theory of functions which was to influence greatly the direction his research would eventually take.
It investigated in detail Cauchy-type integrals which played animportant role in boundary value problems in the theory of functions of  a complex variable.
His work is important in the development of the theory of functions, in particular having applications in the theory of  hypergeometric series and differential equations.
In this paper he applied results from his earlier work On the general theory of functions to study causality in physics.
His book Theory of Functions of  a Real Variable published in 1907 was the first English book on the measure and integration developed by Baire, Borel and Lebesgue.
His first book was his most famous, namely The theory of functions of  a complex variable(1935).
His work is based entirely on things that he learnt during his student days(before 1850), whereas he seems to have beenignorant of  newer developments in analysis such as the theory of functions of  one complex variable.
Also in 1920 he published Intuitionistic Set Theory, then in 1927 he developed a theory of functions On the Domains of  Definition of Functions  without the use of  the Principle of  the Excluded Middle.
Carathéodory made significant contributions to the calculus of  variations,the theory of  point set measure, and the theory of functions of  a real variable.
The concepts on which Weierstrass based his theory of functions of  a complex variable in later years after 1857 are found explicitly in his unpublished works written in Münster from 1841 through 1842, while still under the influence of Gudermann.
He worked on conjugate functions  in multidimensional euclidean space and the theory of functions of  a complex variable.
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.
This work is a book Nouveauprécis d'analyse infinitésimaleⓉ which aims to present the theory of functions of  a complex variable using power series.
Kober was a highly productive mathematician working on special functions,  functional analysis(in this area Kober's Theorem is named after him),approximation theory  and the theory of functions of  a real variable.
Semyon Aranovich Gershgorin studied at Petrograd Technological Institute from 1923, becoming Professor in 1930, and from 1930 he worked in theLeningrad Mechanical Engineering Institute on algebra, theory of functions of  complex variables, numerical methods and differential equations.
Kober was a highly productive mathematician working on special functions,  functional analysis(in this area Kober's Theorem which appeared A theorem on Banach spaces(1939) is named after him),approximation theory  and the theory of functions of  a real variable.