Rational functions and Gleason's problem associated to Dirac's operator;Fonctions rationnelles et problème de Gleason associés à l'opérateur de Dirac

Comptes Rendus Mathematique

Volumn 343, Issue 5, 2006, Pages 291-295

  Alpay, Daniel ^a   Correa Romero, Flor de María ^b   Luna Elizarrarás, María Elena ^b   Shapiro, Michael ^b  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b INSTITUTO POLITÉCNICO NACIONAL   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747353604     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2006.07.009     Document Type: Article

References (8)

1. Alpay D., and Shapiro M. Problème de Gleason et interpolation pour les fonctions hyper-analytiques. C. R. Math. Acad. Sci. Paris, Ser. I 335 (2002) 889-894
2. Alpay D., and Shapiro M. Gleason's problem and tangential homogeneous interpolation for hyperholomorphic quaternionic functions. Complex Variables 48 (2003) 877-894
3. D. Alpay, F.M. Correa-Romero, M.E. Luna-Elizarrarás, M. Shapiro, Hyperholomorphic rational function: the Clifford analysis case, à paraître dans Complex Variables and Elliptic Equations
4. Alpay D., Schneider B., Shapiro M., and Volok D. Fonctions rationnelles et théorie de la réalisation : le cas hyper-analytique. C. R. Acad. Sci. Paris, Ser. I 336 (2003) 975-980
5. 4. J. Funct. Anal. 221 1 (2005) 122-149
6. Brackx F., Delanghe R., and Sommen F. Clifford Analysis. Research Notes in Mathematics vol. 76 (1982), Pitman
7. Delanghe R., Sommen F., and Souček V. Clifford Algebra and Spinor Valued Functions. Mathematics and its Applications vol. 53 (1992), Kluwer Academic Publishers
8. Stout E.L. The Theory of Uniform Algebras (1971), Bogden & Quigley, Inc., Tarrytown-on-Hudson, NY