La sommation des séries divergentes

Marc Zamansky

  • Publisher: Gauthier-Villars, 1954

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Zamansky, Marc. La sommation des séries divergentes. 1954. <http://eudml.org/doc/192648>.

@book{Zamansky1954,
author = {Zamansky, Marc},
keywords = {Series, summability},
language = {fre},
publisher = {Gauthier-Villars},
title = {La sommation des séries divergentes},
url = {http://eudml.org/doc/192648},
year = {1954},
}

TY - BOOK
AU - Zamansky, Marc
TI - La sommation des séries divergentes
PY - 1954
PB - Gauthier-Villars
LA - fre
KW - Series, summability
UR - http://eudml.org/doc/192648
ER -

References

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  1. Les articles et Ouvrages figurant dans cette bibliographie se rapportent aux questions figurant dans ce fascicule et leur ordre est celui de ces questions. 
  2. [1] BANACH, Théorie des opérations linéaires. Zbl0067.08902
  3. [2] TOEPLITZ, Prace matematyczno-fizyczne, t. 22, 1911, p. 113-119). JFM44.0281.02
  4. [3] STEINHAUS, Ibid., p. 121-123. 
  5. [4] SCHUR, J. reine andgew. Math., t. 151, 1921, p. 79-111. JFM47.0197.01
  6. [5] HOBSON, The theory of functions, Cambridge, 1926, vol. 2. JFM48.1206.01
  7. [6] VORONOI, Proc. of the eleventh congress of Russian naturalists and scientists, Saint-Petersbourg, 1902, p. 60-61 (en russe). 
  8. [7] TAMARKIN, Traduction anglaise de l'article précédent [Ann. Math. (2), t. 33, 1932, p. 422-428]. 
  9. [8] NÖRLUND, Lunds Universitats Årsskrift, (2), t. 16, 1920, n° 3. 
  10. [9] ZYGMUND, Math. Polska, t. 1, 1926, p. 75-85 et 119-129. 
  11. [10] M. RIESZ, Proc. Lond. Math. Soc., (2), t. 22, 1923, p. 412-419. JFM50.0154.01
  12. [11] HARDY, Divergent series, Oxford, 1949. Zbl0032.05801MR30620
  13. [12] CESARO, Atti Accad. Lincei [Rendiconti (4), t. 4, 1888, p. 452-457]. JFM20.0188.01
  14. [13] HARDY, Quat. J. Math., t. 38, 1907, p. 269-288. JFM38.0293.01
  15. [14] CESARO, Bull. Sc. math., (2). t. 14, 1890, p. 114-120. JFM22.0248.01
  16. [15] KNOPP, Sitzb. Berliner. math. Ges., t. 7, 1907, p. 1-12. JFM38.0297.01
  17. [16] CHAPMAN, Proc. Lond. Math. Soc., (2), t. 9, 1911, p. 369-409. JFM42.0270.02
  18. [17] M. RIESZ, C. R. Acad. Sc., t. 152, 1911, p. 1651. 
  19. [18] FROBENIUS, J. Math, pures et appl., t. 89, 1880, p. 262-264. JFM12.0188.01
  20. HÖLDER, Math. Ann., t. 20, 1882, p. 535-549. MR1510180JFM14.0180.01
  21. [19] KNOPP, Grenzwerte von Reihen (Dissertation, Berlin, 1907). 
  22. [20] SCHNEE, Math. Ann., t. 67, 1909, p. 110-125. MR1511522JFM40.0304.02
  23. [21] ANDERSEN, Math. Z., t. 28, 1928, p. 356-369. 
  24. [22] HARDY et RIESZ, The general theory of Dirichlet's series (Cambridge tracts, n° 18, 1915). Zbl45.0387.03JFM45.0387.03
  25. [23] HIRST, J. Lond. Math. Soc, 1932. 
  26. [24] KUTTNER, J. Lond. math. Soc, t. 26, 1951, p. 104-111 et t. 27, 1952, p. 207-217. MR40457
  27. [25] ZYGMUND, Bull. Acad. Polon. A, 1925, p. 265-287. JFM52.0218.01
  28. [26] HURVITZ et SILVERMANN, Trans. Amer. Math. Soc, t. 18, 1917, p. 1-20. MR1501059
  29. [27] HAUSSDORFF, Math. Z., t. 9, 1921, p. 74-109. 
  30. [28] HAUSSDORFF, Ibid., t. 16, 1923, p. 220-248. 
  31. [29] ROGOSINSKI, Proc. Cambridge Phil. Soc., t. 38, 1942, p. 166-192. Zbl0028.21601MR6380JFM68.0133.01
  32. [30] FUCHS, Oxford Quat. J., t. 16, 1945, p. 64-77. Zbl0061.12605MR13433
  33. [31] FUCHS, Proc Cambridge Phil. Soc., t. 40, 1944, p. 189-196. Zbl0060.16006MR10621
  34. [32] HARDY et LITTLEWOOD, Proc. Lond. Math. Soc., (2), t. 11, 1913, p. 1-16. JFM43.0311.02
  35. [33] ROGOSINSKI, Proc. Cambridge Phil. Soc., t. 38, 1942, p. 344-363. Zbl0061.12701MR7802
  36. [34] FUCHS et ROGOSINSKI, Oxford Quat. J., t. 14, 1943, p. 27-48. Zbl0061.12702MR8849
  37. [35] ZAMANSKY, C. R. Acad. Sc., t. 233, 1951, p. 808. 
  38. [36] ZAMANSKY, Ibid., t. 233, 1931, p. 999. 
  39. [37] DELANGE et ZAMANSKY, Ibid., t. 234, 1952, p. 1025. Zbl0048.29402
  40. [38] ZAMANSKY, Ibid., t. 235, 1952, p. 1094. Zbl0048.29403
  41. [39] ZAMANSKY, Ibid., t. 236, 1953, p. 2291. Zbl0050.06507
  42. [40] BOHR, C. R. Acad. Sc., t. 148, 1909, p. 75-80. JFM40.0313.01
  43. [41] HARDY, Proc. Lond. Math. Soc., (2), t. 4, 1906, p. 247-265. JFM37.0429.01
  44. [42] HARDY, Math. Ann., t. 64, 1907, p. 77-94. MR1511424JFM38.0292.02
  45. [43] CARTWRIGHT, Proc. Lond. Math. Soc., (2), t. 31, 1930, p. 81-96. JFM56.0908.01
  46. [44] KUTTNER, Proc. Lond. Math. Soc., (2), t. 38, 1935, p. 273-283. Zbl0010.25801
  47. [45] VERBLUNSKY, Ibid., (2), t. 31, 1930. 
  48. [46] ANANDA RAU , Ibid., (2), t. 19, 1919, p. 1-20. JFM47.0281.02
  49. [47] HARDY et LITTLEWOOD, Ibid., (2), t. 19, 1919, p. 21-29. JFM47.0155.01
  50. [48] KNOPP, Math. Z., t. 15, 1922, p. 226-253 et t. 18, 1923, p. 125-156. 
  51. [49] ZAMANSKY, Ann. Éc Norm. Sup., (3), t. 46, 1949, fasc. 1, p. 19-93 et t. 47, 1950, fasc. 2, p. 161-198. 
  52. [50] DE SZ. NAGY, Hungarica Acta Math., vol. 1, n° 3, 1948. MR28465

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