Examples of using Periodic functions in English and their translations into Danish
{-}
-
Colloquial
-
Official
-
Medicine
-
Financial
-
Ecclesiastic
-
Official/political
-
Computer
Ramanujan sums and almost periodic functions.
His interest in almost periodic functions came about through this year spent working with Harald Bohr.
Titchmarsh, writing in,sums up his work on almost periodic functions.
The fundamental theorem for almost periodic functions is a generalisation of the Parseval identity for Fourier series.
His results concern the approximation theory of almost periodic functions.
Quasi-periodic functions, newly introduced,constitute a remarkable class among the almost periodic functions.
Seven papers appeared in 1939,four on statistics and three on almost periodic functions.
In 1932 he wrote an influential text Almost periodic functions covering his work in this area.
In Gaiduk shows how Esclangon anticipated many of Harald Bohr 's results on almost periodic functions.
In 1848 he proved that doubly periodic functions can be represented as quotients of periodic entire functions.
It was in 1923 that Harald Bohr published his ideas on almost periodic functions and Bochner read these.
After setting up the theory of almost periodic functions, Bohr's mathematical work became devoted exclusively to furthering the subject.
He received the Adams Prize from the University of Cambridge in 1930 for his work on almost periodic functions.
In England he began studying the zeta function and this, like almost periodic functions, was to be a continuing interest throughout his life.
In 1937 Akhiezer, working with M G Krein,solved the extremal problem for the class of differentiable periodic functions.
Besicovitch was famous for his work on almost periodic functions, his interest in which, as we mentioned above, came from his time in Copenhagen with Harald Bohr.
His friendship with Bohr developed into a mathematical collaboration andthey wrote a joint paper on almost periodic functions.
He returned to Moscow and, much influenced by Egorov and Luzin,he worked on periodic functions and differential equations.
At this time Kodaira was interested in topology, Hilbert spaces, Haar measure,Lie groups and almost periodic functions.
This result lead Bohr to a result on the uniform approximation to almost periodic functions by exponential functions. .
Davenport was most attracted by Littlewood 's lectures on the theory of primes andthose of Besicovitch on almost periodic functions.
To find an effective method of calculating the Fourier coefficients in the expansion of quadruply periodic functions of two complex variables.
In 1849 Hermite submitted a memoir to the Académie des Sciences which applied Cauchy 's residue techniques to doubly periodic functions.
In 1938 the American Mathematical Society awarded the Bôcher Prize to John von Neumann for his memoir Almost periodic functions and groups.
Bohr's interest in which functions could be represented by a Dirichlet series led him to devise the theory of almost periodic functions.
Bochner lectured at the University of Munich from 1924 to 1933,submitting an outstanding habilitation dissertation on almost periodic functions in 1927.
He wrote the important Abel's Theorem and the Allied Theory of Theta Functions in 1897 andanother major contribution Multiply Periodic Functions in 1907.
In 1924, after the award of an International Education Board fellowship,Bochner travelled to Copenhagen to work with Harald Bohr on almost periodic functions.
In particular he had found a continuous periodic function whose trigonometric interpolating polynomials, corresponding to equally spaces mesh points, diverge almost everywhere.
Roughly speaking an almost periodic function is one which, after a period, takes values within e of its values in the previous period.