Keldysh theorem in Bauer's axiomatic theory of harmonic functions

Jaroslav Lukeš

Czechoslovak Mathematical Journal (1974)

  • Volume: 24, Issue: 1, page 114-125
  • ISSN: 0011-4642

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Lukeš, Jaroslav. "Théorème de Keldych dans la théorie axiomatique de Bauer des fonctions harmoniques." Czechoslovak Mathematical Journal 24.1 (1974): 114-125. <http://eudml.org/doc/12773>.

@article{Lukeš1974,
author = {Lukeš, Jaroslav},
journal = {Czechoslovak Mathematical Journal},
language = {fre},
number = {1},
pages = {114-125},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Théorème de Keldych dans la théorie axiomatique de Bauer des fonctions harmoniques},
url = {http://eudml.org/doc/12773},
volume = {24},
year = {1974},
}

TY - JOUR
AU - Lukeš, Jaroslav
TI - Théorème de Keldych dans la théorie axiomatique de Bauer des fonctions harmoniques
JO - Czechoslovak Mathematical Journal
PY - 1974
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 24
IS - 1
SP - 114
EP - 125
LA - fre
UR - http://eudml.org/doc/12773
ER -

References

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  1. H. Bauer, 10.1007/BF01396667, Math. Ann. 146 (1962), 1 - 59. (1962) Zbl0107.08003MR0144064DOI10.1007/BF01396667
  2. H. Bauer, 10.5802/aif.201, Ann. Inst. Fourier 15 (1965), 137-154. (1965) MR0190359DOI10.5802/aif.201
  3. H. Bauer, 10.1007/BFb0075363, Lecture Notes in Mathematics, vol. 22, Springer-Verlag, Berlin-New York, 1966. (1966) Zbl0142.38402MR0210916DOI10.1007/BFb0075363
  4. N. Boboc A. Cornea, Espaces harmoniques. Axiome D et théorème de convergence, Rev. Roum. Math. Pures Appl. 13 (1968), 933-947. (1968) MR0237807
  5. N. Bourbaki, Eléments de mathématique, Intégration, Livre VI, edition, Herman, Paris, 1965. (1965) MR0219684
  6. M. Brelot, 10.1007/BF02786852, J. Analyse Math. 8 (1960/61), 273-288. (1960) MR0125245DOI10.1007/BF02786852
  7. M. Brelot, Axiomatique des fonctions harmoniques, Université de Montréal, 1966. (1966) Zbl0148.10401MR0247124
  8. M. Brelot, Eléments de la théorie classique du potentiel, C.D.U. Paris, édition, 1969. (1969) 
  9. M. Brelot, On topologies and boundaries in potential theory, Lecture Notes in Mathematics, vol. 175, Springer-Verlag, Berlin-New York, 1971. (1971) Zbl0222.31014MR0281940
  10. G. Choquet, Lecture on Analysis, W. A. Benjamin, New York, 1969. (1969) 
  11. C. Constantinescu, An example of harmonic space, Rev. Roum. Math. Pures Appl. 10 (1965), 267-270. (1965) Zbl0135.15603MR0183890
  12. C. Constantinescu, 10.5802/aif.257, Ann. Inst. Fourier 17 (1967), 273-293. (1967) Zbl0159.40804MR0227449DOI10.5802/aif.257
  13. E. G. Effros J. L. Kazdan, 10.1016/0022-0396(70)90040-9, J. Diff. Equations 8 (1970), 95-134. (1970) MR0259577DOI10.1016/0022-0396(70)90040-9
  14. R. M. Hervé, 10.5802/aif.125, Ann. Inst. Fourier 12 (1962), 415-571. (1962) MR0139756DOI10.5802/aif.125
  15. M. V. Keldych, On the solvability and stability of the Dirichlet problem, (en russe), Usp. Mat. Nauk SSSR 8 (1941), 171-231. (1941) 
  16. J. Köhn M. Sieveking, Reguläre und extremale Randpunkte in der Potentialtheorie, Rev. Roum. Math. Pures Appl. 12 (1967), 1489-1502. (1967) MR0232960
  17. A. F. Monna, Note sur le problème de Dirichlet, Nieuw Arch. Wiskunde 19 (1971), 58-64. (1971) Zbl0207.10901MR0310273

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