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274:) in 1892. De la Vallée Poussin was awarded with Gilbert's chair when Gilbert died. While he was a professor there, de la Vallée Poussin carried out research in mathematical analysis and the theory of numbers, and in 1905 was awarded the Decennial Prize for Pure Mathematics 1894–1903. He was awarded this prize a second time in 1924 for his work during 1914–23.
1258:
The second edition (1909-1912) is remarkable for its introduction of the
Lebesgue integral. It was in 1912, "the only textbook on analysis containing both Lebesgue integral and its application to Fourier series, and a general theory of approximation of functions by polynomials".
315:
After the war was over, de la Vallée
Poussin returned to Belgium, The International Union of Mathematicians was created, and he was invited to become its President. Between 1918 and 1925, de la Vallée Poussin traveled extensively, lecturing in
328:. and then in the United States where he gave lectures at the Universities of Chicago, California, Pennsylvania, and Brown University, Yale University, Princeton University, Columbia University, and the Rice Institute of Houston.
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for 1916. De la Vallée
Poussin was given the titles of Doctor Honoris Causa of the Universities of Paris, Toronto, Strasbourg, and Oslo, an Associate of the Institute of France, and a Member of the
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The further editions were much more conservative, returning essentially to the first edition. Starting from the eighth edition, Fernand
Simonart took over the revision and the publication of the
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1472:(19 September 2014). "The Cours d'Analyse Infinitésimale of Charles-Jean de La Vallée Poussin: From Innovation to Tradition".
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The textbooks of his mathematical analysis course have been a reference for a long time and had some international influence.
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In 1961, de la Vallée
Poussin fractured his shoulder, and this accident and its complications led to his death in
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In August 1914, de la Vallée
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Although his first mathematical interests were in analysis, he became suddenly famous as he proved the
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Sur la fonction Zeta de
Riemann et le nombre des nombres premiers inferieur a une limite donnée
1296:, vol. 1 (Biography and number theory), 2000 (eds. Mawhin, Butzer, Vetro), vols. 2 to 4 planned
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De la Vallée
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Finally, the de la Vallée
Poussin sums can be evaluated in terms of the so-called
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1359:, Mémoires couronnés de l Academie de Belgique, vol.59, 1899, pp. 1–74
650:{\displaystyle S_{n}={\frac {1}{2}}c_{0}(f)+\sum _{i=1}^{n}c_{i}(f)T_{i}}
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In 1898, de la Vallée
Poussin was appointed as the correspondent to the
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The third edition (1914) introduced the now classical definition of
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Comptes Rendus Hebdomadaires des Séances de l'Académie des Sciences
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and mathematics, and in 1891, at the age of just 25, he became an
251:. De la Vallée Poussin was encouraged to study for a doctorate in
216:
1245:, the graph he used for this counterexample, is named after him.
531:{\displaystyle V_{n}={\frac {S_{n}+S_{n+1}+\cdots +S_{2n-1}}{n}}}
243:
under his uncle Louis-Philippe Gilbert, after he had earned his
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Charles-Jean Étienne Gustave Nicolas, baron de la Vallée Poussin
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Charles-Jean Étienne Gustave Nicolas, baron de la Vallée Poussin
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Le potentiel logarithmique, balayage et representation conforme
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Leçons sur l'approximation des fonctions d'une variable réelle
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Leçons sur l'approximation des fonctions d'une variable réelle
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Integrals de Lebesgue, Fonctions d'Ensemble, Classes de Baire
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Integrals de Lebesgue, fonctions d´ensemble, classes de Baire
1270:. The second volume of this third edition was burnt in the
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Recherches analytiques de la théorie des nombres premiers
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Foreign associates of the National Academy of Sciences
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Harvard University Department of Mathematics faculty
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Jahresbericht der Deutschen Mathematiker-Vereinigung
1201:{\displaystyle f(x)=\sum _{j=-n}^{n}a_{j}e^{ijx}.\,}
198:[ʃaʁlʒɑ̃etjɛnɡystavnikɔlabaʁɔ̃dəlavalepusɛ̃]
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1334:, 2nd edition 1934, Reprint by Jacques Gabay,
787:{\displaystyle (T_{0}/2,T_{1},\ldots ,T_{n}).}
924:{\displaystyle F(\theta )=f(\cos \theta ).\,}
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1445:Journal of the London Mathematical Society
1036:{\displaystyle V_{n}=2F_{2n-1}-F_{n-1}.\,}
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1322:Cours d'analyse infinitésimale, Tome II
201:; 14 August 1866 – 2 March 1962) was a
1557:Cours d'Analyse Infinitésimale, Tome I
1315:Cours d'analyse infinitésimale, Tome I
1233:He also published a counterexample to
1441:"Charles-Joseph de la Vallée Poussin"
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1741:19th-century Belgian mathematicians
1705:"Charles Jean de la Vallée Poussin"
1367:Paris, Gauthier-Villars, 1919, 1952
208:. He is best known for proving the
16:Belgian mathematician (1866 - 1962)
264:Charles Louis de la Vallée Poussin
14:
1683:Charles Jean de la Vallée Poussin
1559:, by Ch. J. de la Vallée Poussin"
1521:, by Ch.-J. de la Vallée Poussin"
390:Afterwards, he found interest in
292:, and he was invited to teach at
279:Royal Belgian Academy of Sciences
227:De la Vallée Poussin was born in
28:Charles Jean de la Vallée Poussin
1665:10.1090/S0002-9904-1922-03513-6
1622:10.1090/s0002-9904-1918-03091-7
1579:10.1090/s0002-9904-1925-04009-4
1540:10.1090/s0002-9904-1915-02725-4
363:, was the first to propose the
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1645:, by C. de la Vallée Poussin"
1602:, by C. de la Vallée Poussin"
1519:Cours d'Analyse Infinitésmale
343:King Albert I of the Belgians
241:Catholic University of Leuven
383:independently of his coeval
1691:Biographie Universelle, by
1115:{\displaystyle f*V_{n}=f\,}
1072:{\displaystyle V_{n}\leq 3}
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693:{\displaystyle c_{i}(f)\,}
259:in mathematical analysis.
1486:10.1365/s13291-014-0100-z
1079:) and obeys the property
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1715:University of St Andrews
1453:10.1112/jlms/s1-39.1.165
1414:: 791. 18 December 1916.
367:of the formation of the
1439:Burkill, J. C. (1964).
1046:The kernel is bounded (
703:are the vectors of the
1781:Scientists from Leuven
1553:Porter, M. B. (1925).
1515:Porter, M. B. (1915).
1237:'s false proof of the
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1652:Bull. Amer. Math. Soc
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1528:Bull. Amer. Math. Soc
1288:Selected publications
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958:{\displaystyle F_{n}}
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1701:Robertson, Edmund F.
1211:Later, he worked on
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381:prime number theorem
210:prime number theorem
128:Prime number theorem
1699:O'Connor, John J.;
1347:, Paris, Löwen 1949
396:continuous function
350:Watermael-Boitsfort
331:He was awarded the
257:assistant professor
120:Poussin summability
88:, Brussels, Belgium
86:Watermael-Boitsfort
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1594:Carmichael, R. D.
1388:La Vallée-Poussin
1264:differentiability
867:{\displaystyle F}
853:periodic function
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354:Brussels, Belgium
306:Collège de France
245:bachelor's degree
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298:United States
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48:
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1708:
1658:(1): 59–61.
1655:
1651:
1642:
1631:
1612:
1608:
1599:
1588:
1569:
1565:
1556:
1548:
1534:(2): 77–85.
1531:
1527:
1518:
1510:
1477:
1473:
1470:Mawhin, Jean
1444:
1434:
1420:
1411:
1402:
1363:
1356:
1350:
1344:
1330:
1321:
1314:
1299:
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1257:
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1249:
1235:Alfred Kempe
1232:
1210:
1045:
933:
796:
715:(defined as
702:
659:
541:
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310:the Sorbonne
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189:
188:
164:Institutions
147:
80:(1962-03-02)
78:2 March 1962
18:
1736:1962 deaths
1731:1866 births
1447:: 165–175.
1274:during the
439:, the sums
290:World War I
286:German Army
249:engineering
237:mathematics
158:Mathematics
94:Citizenship
1725:Categories
1268:Otto Stolz
938:sums (say
874:such that
824:being the
705:dual basis
322:Strasbourg
268:mineralogy
56:1866-08-14
1641:"Review:
1598:"Review:
1572:(1): 83.
1555:"Review:
1517:"Review:
1502:119983767
1494:0012-0456
1156:−
1146:∑
1093:∗
1064:≤
1022:−
1011:−
1003:−
912:θ
909:
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828:sum of a
763:…
599:∑
515:−
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415:−
387:in 1896.
345:in 1928.
223:Biography
1639:(1922).
1596:(1918).
1372:See also
403:interval
369:Universe
1685:at the
1266:due to
826:Fourier
352:, near
308:and at
304:at the
296:in the
272:geology
253:physics
239:at the
233:Belgium
203:Belgian
98:Belgium
68:Belgium
1500:
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1338:
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1294:Œuvres
1241:. The
542:where
326:Madrid
324:, and
318:Geneva
229:Leuven
154:Fields
141:(1916)
134:Awards
64:Leuven
1693:Didot
1648:(PDF)
1605:(PDF)
1562:(PDF)
1524:(PDF)
1498:S2CID
1394:Notes
1122:, if
936:Fejér
709:basis
302:Paris
217:baron
25:Baron
1490:ISSN
1336:ISBN
1304:ISBN
1226:The
1215:and
660:and
375:Work
270:and
75:Died
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1660:doi
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