영어에서 Fourier series 을 사용하는 예와 한국어로 번역
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Euler also studied Fourier series and in 1744 he was the first to express an algebraic function by such a series when he gave the result.
This was awarded in 1917 for a thesis on Fourier series in two variables.
Riemann, who was a student of Dirichlet, wrote in the introduction to his habilitation thesis on Fourier series that it was Dirichlet.
The fundamental theorem for almost periodic functions is a generalisation of the Parseval identity for Fourier series.
He was in the right place to carry on with his interest in Fourier series, and he collaborated on this topic with Norbert Wiener
The standard technique to solve partial differential equations used Fourier series but Cauchy, Abel and Dirichlet had all pointed out problems associated with the convergence of the Fourier series of an arbitrary function.
The only visible trace of Schauder 's influence is a very interesting paper of Marcinkiewicz on the multipliers of Fourier series, a paper which originated in connection with a problem proposed by Schauder….
real variable in 1878; a treatise on Fourier series in 1880; and a two volume work Lessons on infinitesimal analysis with the first volume appearing in 1907 and the second in 1915.
He also wrote several papers on Fourier series.
Geometric Applications of Fourier Series and Spherical Harmonics(Encyclopedia of Mathematics and its Applications)!
Because of this work Dirichlet is considered the founder of the theory of Fourier series.
After Salem died his wife established an international prize for outstanding contributions to Fourier series.
Although he read some of the current literature on Fourier series, he apparently worked all alone….
He became attracted to Fourier series, and the interest in the subject remained undiminished throughout his life….
Much of his work is on Fourier series and their singularities but he also contributed to approximation theory.
Thus from the Hilbert space point of view, the theory of Fourier series is rather simple.
His work led him to study the acceleration of convergence of Fourier series and the approximate solutions to differential equations.
Whenever he had free time in the evenings he worked on Fourier series, a topic which interested him throughout his life.
From this he was able to prove that if a function was representable by a trigonometric series then this series is necessarily its Fourier series.
He discovered a condition, now known as the Dini condition, ensuring the convergence of a Fourier series in terms of the convergence of a definite integral.