Examples of using Harmonic analysis in English and their translations into Danish
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Fejér's main work was in harmonic analysis.
His work in harmonic analysis has application in the theory of waves and vibrations.
The largest number of harmonic analysis: 63 times.
Harmonic analysis can be carried out up to the 500th order from a 50 or 60 Hz fundamental frequency.
He developed major results in harmonic analysis.
The largest number of harmonic analysis: 63 times 1 minute interval continuous maximum storage cycle: 18 months.
This in turn led him to study harmonic analysis in 1930.
With the function of harmonic analysis, can accurately analyze the content of the third, fifth and seventh harmonics; .
Zygmund worked in analysis, in particular in harmonic analysis.
From there, he extended his harmonic analysis to music, meteorology and astrology;
We should also note that Salem introduced the idea of a random measure into harmonic analysis.
His major book on this topic is Harmonic Analysis and the Theory of Probability 1955.
In addition to his work on set theory, Cohen has worked on differential equations and harmonic analysis.
He developed major results in harmonic analysis:… that was perhaps he greatest achievement.
There he was taught by Marcel Riesz who lectured to him on classical function theory and harmonic analysis.
Among other important work,Krein wrote eight papers on harmonic analysis and representation theory in the 1940s.
It was used by von Neumann, by Pontryagin in 1934 andWeil in 1940 to set up an abstract theory of commutative harmonic analysis.
His primary interests revolved about the representation theory of reductive groups and harmonic analysis on these groups and their related homogeneous spaces.
His work on generalised harmonic analysis led him to study Tauberian theorems in 1932 and his contributions on this topic won him the Bôcher Prize in 1933.
Beurling worked on the theory of generalized functions,differential equations, harmonic analysis, Dirichlet series and potential theory.
In 1989 he proved some remarkable results, using analytic and probabilistic methods, which solved the L(p)problem which had been a longstanding one in Banach space theory and harmonic analysis.
The geometry of Banach spaces,convexity in high dimensions, harmonic analysis, ergodic theory, and finally, nonlinear partial differential equations from mathematical physics.
It was in this period that John introduced the space of functions of bounded mean oscillations which plays a fundamental role in harmonic analysis and nonlinear elliptic equations.
From there, he extended his harmonic analysis to music, meteorology, and astrology; harmony resulted from the tones made by the souls of heavenly bodies-and in the case of astrology, the interaction between those tones and human souls.
He has built a fundamental theory of representations of Lie groups and Lie algebras,respectively of harmonic analysis on these groups and their homogeneous spaces.
His primary interests revolved about the representation theory of reductive groups and harmonic analysis on these groups and their related homogeneous spaces. However Harish-Chandra made several attempts to get into algebraic geometry or number theory.
It was not just to these areas that he contributed but, even more importantly,his work brought out fundamental relationships between the areas when he studied harmonic analysis on topological groups and characteristic classes.
Moreover, it led me very directly to the periodogram, andto the study of forms of harmonic analysis more general than the classical Fourier series and Fourier integral.
After the test is started and before the test is complete,click the“Harmonic Analysis” button to analyze the harmonic contentof the first and second phase voltage.
In his work he achieved fundamental results,one of them is the famous Plancherel theorem in harmonic analysis and which is now known in many generalizations Plancherel measures.