Examples of using Analytic functions in English and their translations into Danish
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On the development of analytic functions in series.
At Tohoko University Kakutani was introduced to the theory of analytic functions.
There he taught courses on analytic functions and functional calculus.
Livsic took part in the functional analysis seminar and studied analytic functions.
They were The theory of analytic functions(1953), Differential and integral equations.
His main work focused on the theory of analytic functions.
Other major works include Analytic functions in 1938 and Measure and integral in 1977.
He also studied, together with Privalov,boundary uniqueness properties of analytic functions.
His dissertation investigates analytic functions and summation procedures by arithmetic means.
The second is to give an account of the theory of Riemann surfaces and analytic functions on Riemann surfaces.
Privalov studied analytic functions in the vicinity of singular points by means of measure theory and Lebesgue integrals.
He also wrote important works on the theory of analytic functions of a single variable.
Carlson was one of those who with refined methods continued Mittag-Leffler 's effort in the theory of analytic functions.
In 1945 he published the paper Characterization of analytic functions in Banach space in the Annals of Mathematics.
The book presents a beautiful historical account of the global theory of iteration of complex analytic functions.
In this area he worked on differential equations, analytic functions and functions of several complex variables.
His PhD, which was supervised by Schmidt(with assistance from Schur),was on orthogonal systems of complex analytic functions.
Then he worked on analytic functions, applying results of Mittag-Leffler in a study of the asymptotic investigation of Taylor series.
In this thesis Sokhotsky discussed the Cauchy integral and the theory of analytic functions, which he called"single-valued.
He published Analytic functions and classes of infinitely differentiable functions as a Rice Institute Pamphlet of 142 pages in 1942.
After his doctoral work on quantum theory he turned toward topology and the theory of analytic functions in several indeterminates.
He published Analytic functions and classes of infinitely differentiable functions as a Rice Institute Pamphlet of 142 pages in 1942. Isaac Schoenberg, reviewing the Pamphlet, writes.
In physics for a thesis entitled Representation of quantum mechanical operators by kernels on Hilbert spaces of analytic functions.
We point out seven properties of a fractional-linear analytic function, many of which are also preserved in the domain of real variables.
The work represents the first general treatment of continued fractions as part of complex analytic function theory; previously, only special cases had been considered.
He has only one joint paper with his brother, written during World War I,on the boundary behaviour of an analytic function.
The work represents the first general treatment of continued fractions as part of complex analytic function theory;
Freundlich was awarded a doctorate by the University of Göttingen for a thesis on analytic function theory in 1910.
He used the ideas,techniques and methods of analytic function theory throughout all his research.
The analytic function course, taken in my junior year with Osgood as teacher, was my first course in rigorous analysis and I took to it right away in spite of his mannerisms.