Families of polynomials and determining measures

Jozef Siciak

Annales de la Faculté des sciences de Toulouse : Mathématiques (1988)

  • Volume: 9, Issue: 2, page 193-211
  • ISSN: 0240-2963

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Siciak, Jozef. "Families of polynomials and determining measures." Annales de la Faculté des sciences de Toulouse : Mathématiques 9.2 (1988): 193-211. <http://eudml.org/doc/73204>.

@article{Siciak1988,
author = {Siciak, Jozef},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {probability measure; nonpluripolar Borel subset; growth behaviour; polynomial families; polynomial condition; plurisubharmonic extremal functions; L-regular sets; determining measures},
language = {eng},
number = {2},
pages = {193-211},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Families of polynomials and determining measures},
url = {http://eudml.org/doc/73204},
volume = {9},
year = {1988},
}

TY - JOUR
AU - Siciak, Jozef
TI - Families of polynomials and determining measures
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1988
PB - UNIVERSITE PAUL SABATIER
VL - 9
IS - 2
SP - 193
EP - 211
LA - eng
KW - probability measure; nonpluripolar Borel subset; growth behaviour; polynomial families; polynomial condition; plurisubharmonic extremal functions; L-regular sets; determining measures
UR - http://eudml.org/doc/73204
ER -

References

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  1. [1] Bedford ( E.) et Taylor ( B.A.).—A new capacity for plurisubharmonic functions, Acta Math., t. 49, 1982, p. 1-40. Zbl0547.32012MR674165
  2. [2] Bedford ( E.) et Taylor ( B.A.).— Fine topology, Silov boundary and (ddc)n, Journal of Functional Analysis, t. 72, 1987, p. 225-251. Zbl0677.31005MR886812
  3. [3] Dudley ( R.M.) and Randol ( B.).— Implications of pointivise bouds on polynomials, Duke Math. J., t. 29(3), 1962, p. 455-458. Zbl0105.05004MR146356
  4. [4] Bernstein ( S.).—Sur l'ordre de la meilleure approximation des fonctions continues, Mémoires de l'Académie Royale de Belgique (2), t. 4, 1914, p. 1-104. JFM45.0633.03
  5. [5] Leja ( F.). - Sur les suites des polynômes bornées presque partout sur la frontière d'un domaine, Math. Ann., t. 108, 1933, p. 517-524. Zbl0007.06203JFM59.0249.03
  6. [6] Levenberg ( N.).— Monge-Ampère measures associated to extremal plurisubharmonic functions in CN, Trans. Amer. Math. Soc., t. 289 (1), 1985, p. 333-343. Zbl0541.31009MR779067
  7. [7] Nguyen Thanh Van.— Famille de polynômes ponctuellement bornés, Ann. Pol. Math., t. 31, 1975, p. 83-90. Zbl0263.30004MR427601
  8. [8] Nguyen Thanh Van . — Inégalités de Bernstein-Markov relative à une fonction poids positive. — Séminaire d'Analyse Numérique de Toulouse, 1976-1977. 
  9. [9] Nguyen Thanh Van et Zeriahi ( A.). — Families des polynômes presque partout bornées, Bull. Sci. Math.2ème série, t. 107, 1983, p. 81-91. Zbl0523.32011MR699992
  10. [10] Siciak ( J.). — Extremal plurisubharmonic functions in CN , Ann. Pol. Math., t. 39, 1981, p. 175-211. Zbl0477.32018MR617459
  11. [11] Siciak ( J.). — On some inequalities for polynomials, Zesyty Nauk. Univ. Jagiellon, t. 21, 1979, p. 7-10. Zbl0406.41002MR542575
  12. [12] Siciak ( J.).—Extremal plurisubharmonic functions and capacities in CN.—Sophia Kokyuroku in Math.14,Sophia University, Tokio1982. Zbl0579.32025
  13. [13] Siciak ( J.). - On logarithmic capacities and pluripolar sets CN. - preprint, 1986. 
  14. [14] Ullman ( J.L.). — Orthogonal polynomials for general measures I, Proc 1983 Tampa Conf. on Rational Approximation and Interpolation, SpringerLectures Notes in Math., t. 1105, 1985, p. 524-528. Zbl0564.42011MR783300

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