Lipót Fejér


Lipót Fejér

Infobox_Scientist
box width = 300px
name = Lipót (Leopold) Fejér


image_width = 200px
caption = Lipót Fejér
birth_date = birth date|1880|2|9|mf=y
birth_place = Pécs, Hungary
death_date = death date and age|1959|10|15|1880|2|9|mf=y
death_place = Budapest, Hungary
residence =
nationality =
field = Mathematics
work_institution = University of Pázmány Péter
University of Berlin
alma_mater = University of Pázmány Péter
doctoral_advisor = Hermann Schwarz
doctoral_students = Paul Erdős
John von Neumann
Pál Turán
George Pólya
Tibor Radó
László Kalmár
Marcel Riesz
Gábor Szegő
Michael Fekete
known_for = Harmonic analysis
Fourier series.
prizes =
religion =
footnotes =

Lipót Fejér (or Leopold Fejér), (February 9, 1880, PécsOctober 15, 1959, Budapest) was a Hungarian mathematician. Fejér was born Leopold Weiss, and changed to the Hungarian name Fejér around 1900.

Fejér studied mathematics and physics in Budapest and Berlin, where he was taught by Hermann Schwarz. From 1902 to 1905 Fejér taught at the University of Pázmány Péter and from 1905 until 1911 he taught at Kolozsvár in Hungary (now Cluj in Romania). In 1911 Fejér was appointed to the chair of mathematics at the University of Budapest and he held that post until his death.

During his period in the chair at Budapest Fejér led a highly successful Hungarian school of analysis. He was the thesis advisor of mathematicians such as John von Neumann, Paul Erdős, George Pólya and Pál Turán.

Lipót Fejér is buried in Kerepesi Cemetery in Budapest.

Fejér's research concentrated on harmonic analysis and, in particular, Fourier series.

Fejér collaborated to produce important papers, one with Carathéodory on entire functions in 1907 and another major work with Frigyes Riesz in 1922 on conformal mappings (specifically, a short proof of the Riemann mapping theorem).

Pólya on Fejer

George Pólya writes about Lipót Fejér in: G Pólya, "Some mathematicians I have known", "Amer. Math. Monthly" 76 (1969), 746–753:

"If you could see him in his rather Bohemian attire (which was, I suspect, carefully chosen) you would find him very eccentric. Yet he would not appear so in his natural habitat, in a certain section of Budapest middle-class society, many members of which had the same manners, if not quite the same mannerisms, as Fejér — there he would appear about half eccentric."

In the article: G Pólya, "Leopold Fejér", "J. London Math. Soc." 36 (1961), 501-506 Pólya writes the following about Fejér, telling us much about his personality:

"He had artistic tastes. He deeply loved music and was a good pianist. He liked a well-turned phrase. 'As to earning a living', he said, 'a professor's salary is a necessary, but not sufficient, condition.' Once he was very angry with a colleague who happened to be a topologist, and explaining the case at length he wound up be declaring '... and what he is saying is a topological mapping of the truth'."

"He had a quick eye for foibles and miseries; in seemingly dull situations he noticed points that were unexpectedly funny or unexpectedly pathetic. He carefully cultivated his talent of raconteur; when he told, with his characteristic gestures, of the little shortcomings of a certain great mathematician, he was irresistible. The hours spent in continental coffee houses with Fejér discussing mathematics and telling stories are a cherished recollection for many of us. Fejér presented his mathematical remarks with the same verve as his stories, and this may have helped him in winning the lasting interest of so many younger men in his problems."

In the same article Pólya writes about Fejér's style of mathematics:

"Fejér talked about a paper he was about to write up. 'When I write a paper,' he said, 'I have to rederive for myself the rules of differentiation and sometimes even the commutative law of multiplication.' These words stuck in my memory and years later I came to think that they expressed an essential aspect of Fejér's mathematical talent; his love for the intuitively clear detail.

It was not given to him to solve very difficult problems or to build vast conceptual structures. Yet he could perceive the significance, the beauty, and the promise of a rather concrete not too large problem, foresee the possibility of a solution and work at it with intensity. And, when he had found the solution, he kept on working at it with loving care, till each detail became fully transparent.

It is due to such care spent on the elaboration of the solution that Fejér's papers are very clearly written, and easy to read and most of his proofs appear very clear and simple. Yet only the very naive may think that it is easy to write a paper that is easy to read, or that it is a simple thing to point out a significant problem that is capable of a simple solution."

ee also

*Fejér kernel
*Fejér's theorem

External links

* Gabor Szegö " [http://projecteuclid.org/euclid.bams/1183523685 Leopold Fejér: In memoriam, 1880-1959] " Bull. Amer. Math. Soc. 66, 346-352 (1960).
* [http://www.latrobe.edu.au/maths/smith/fejer_birthplace.html Birthplace of Lipót Fejér] .
*


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Look at other dictionaries:

  • Lipot Fejer — Lipót Fejér Pour les articles homonymes, voir Fejer (homonymie). Lipót Fejér (9 février 1880 à Pécs, Hongrie 15 octobre 1959 à Budapest, Hongrie) est un mathématicien hongrois. Il a publié un théorème de convergence remarquable pour les séries de …   Wikipédia en Français

  • Lipót Fejér —  Pour l’article homonyme, voir Fejér.  Lipót Fejér Lipót Fejér (debout à droite) face à Constantin Caratheodory Naiss …   Wikipédia en Français

  • Lipót Fejér — Leopold Fejér oder Lipót Fejér (* 9. Februar 1880 in Pécs (früher Fünfkirchen) als Leopold Weiss; † 15. Oktober 1959 in Budapest) war ein ungarischer Mathematiker. Den ungarischen Namen Fejér nahm er um 1900 an. Fejér studierte ab 1897 Mathematik …   Deutsch Wikipedia

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  • Fejér County — Infobox Hungarian county name =Fejér region =Central Transdanubia seat = Székesfehérvár area = 4359 population = 426,541 density = 98 cities = 108: For the historical county see Fejér (former county). : For the mathematician of the same name see… …   Wikipedia

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  • Fejér kernel — In mathematics, the Fejér kernel is used to express the effect of Cesàro summation on Fourier series. It is a non negative kernel, giving rise to an approximate identity.The Fejér kernel is defined as :F n(x) = frac{1}{n} sum {k=0}^{n 1}D… …   Wikipedia

  • Fejér's theorem — In mathematics, Fejér s theorem, named for Hungarian mathematician Lipót Fejér, states that if f :R rarr; C is a continuous function with period 2 pi;, then the sequence ( sigma; n ) of Cesàro means of the sequence ( s n ) of partial sums of the… …   Wikipedia

  • Fejér (homonymie) — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. Fejér, un département du centre de la Hongrie. Lipót Fejér, un mathématicien hongrois (1880 1959). Catégorie : Homonymie …   Wikipédia en Français

  • Théorème de Fejér-Lebesgue — Théorème de Fejér En mathématiques, le théorème de Fejér est un des principaux résultats de la théorie des séries de Fourier. Il donne des propriétés de convergence très générales pour la série de Fourier, dès lors qu on utilise le procédé de… …   Wikipédia en Français


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