Algebra-Valued Composite Abstract Homogeneous Polynomials

Neyamat Zaheer

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1980)

  • Volume: 69, Issue: 3-4, page 111-116
  • ISSN: 0392-7881

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Zaheer, Neyamat. "Algebra-Valued Composite Abstract Homogeneous Polynomials." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 69.3-4 (1980): 111-116. <http://eudml.org/doc/288614>.

@article{Zaheer1980,
author = {Zaheer, Neyamat},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {9},
number = {3-4},
pages = {111-116},
publisher = {Accademia Nazionale dei Lincei},
title = {Algebra-Valued Composite Abstract Homogeneous Polynomials},
url = {http://eudml.org/doc/288614},
volume = {69},
year = {1980},
}

TY - JOUR
AU - Zaheer, Neyamat
TI - Algebra-Valued Composite Abstract Homogeneous Polynomials
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1980/9//
PB - Accademia Nazionale dei Lincei
VL - 69
IS - 3-4
SP - 111
EP - 116
LA - eng
UR - http://eudml.org/doc/288614
ER -

References

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  1. Bourbaki, N. (1952) - Éléments de mathématique. XIV. Part 1, Les structures fondamentales de l'analyse. Livre II: Algèbre. Chap. VI: Groupes et corps ordonnés, «Actualités Sci. Indust.», n. 1179, Hermann, Paris. Zbl0049.01801
  2. De Bruijn, N.G. (1947) - Inequalities concerning polynomials in the complex domain, «Nederl. Akad. Wetensch. Proc.», 50, 1265-1272 = «Indag. Math.», 9, 591-598. Zbl0029.19802
  3. Cohn, A. (1922) - Uber die Anzahl der Wurzeln einer algebraischen Gleichung in einem Kreise, «Math. Z.», 14, 110-148. Zbl48.0083.01
  4. Egerváry, E. (1922) - On a maximum-minimum problem and its connection with the roots of equations, «Acta Sci. Math. (Szeged)», I, 38-45. Zbl48.1136.02
  5. Hille, E. and Phillips, R.S. (1957) - Functional Analysis and semigroups, «Amer. Math. Soc. Colloq. Publ.», 31, rev. ed., Amer. Math. Soc., Providence, R. I. Zbl0078.10004
  6. Hörmander, L. (1954) - On a theorem of Grace, «Math. Scand.», 2, 55-64. Zbl0058.25502
  7. Marden, M. (1966) - Geometry of polynomials, 2nd. ed., Math. Surveys, n. 3, «Amer. Math. Soc.», Providence, R. I. Zbl0162.37101
  8. Marden, M. (1966) - A generalization of a theorem of Bȏcher, «SIAM J. Numer. Anal.», 3, 269-275. Zbl0173.02703
  9. Marden, M. (1969) - On composite abstract homogeneous polynomials, «Proc. Amer. Math. Soc.», 22, 28-23. 
  10. Szegö, G. (1922) - Bemerkungen zu einem Satz von J.H. Grace über die Wurzeln algebraischer Gleichungen, «Math. Z.», 13, 28-55. Zbl48.0082.02
  11. Van Der Waerden, B.L. (1970) - Algebra. Vol. I, 6th. ed., Springer-Verlag, Berlin and New York, 1964; Anglish translation, Ungar, New York. 
  12. Wilansky, A. (1964) - Functional Analysis, Blaisdell, New York. 
  13. Zaheer, N. (1971) - Null-sets of abstract homogeneous polynomials in vector spaces, Doctoral thesis, Univ. of Wisconsin, Milwaukee, Wisc. 
  14. Zaheer, N. (1976) - On polar relation of abstract homogeneous polynomials, «Trans. Amer. Math. Soc.», 218, 115-131. 
  15. Zaheer, N. (1977) - On composite abstract homogeneous polynomials, «Trans. Amer. Math. Soc.», 228, 345-358. Zbl0355.30003
  16. Zaheer, N. (1975) - On generalized polars of the product of abstract homogeneous polynomials, «Pacific J. Math.», 74, n. 2, 535-557. 
  17. Zaheer, N. (1980) - On the theory of algebra-valued generalized polars, «Indiana Univ. Math. J.», 29, n. 5, 693-702. Zbl0479.15024
  18. Zaheer, N. and Khan, A.A. - Cross-ratio theorems on generalized polars of abstract homogeneous polynomials, «Ann. di Math.», to appear. 
  19. Zervos, S.P. (1960) - Aspects modernes de la localisation des zéros des polynômes d'une variable, «Ann. Sci. École Norm. Sup.», (3), 77, 303-410. Zbl0096.01003

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