Gleason's problem and interpolation for hyperholomorphic functions;Problème de Gleason et interpolation pour les fonctions hyper-analytiques

Comptes Rendus Mathematique

Volumn 335, Issue 11, 2002, Pages 889-894

  Alpay, Daniel ^a   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: 0038053069     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02598-0     Document Type: Article

References (12)

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3. D. Alpay, H.T. Kaptanoǧlu, Some finite-dimensional backward shift-invariant subspaces in the ball and a related interpolation problem, Integral Equation Operator Theory (2002) 1-21.
4. D. Alpay, M. Shapiro. Reproducing quaternionic Pontryagin spaces, Preprint, 2002.
5. F. Brackx, R. Delanghe, F. Sommen, Clifford Analysis, in: Pitman Res. Notes, Vol. 76, 1982.
6. R. Fueter, Die Theorie der regülaren Funkionen einer quaternionen Variablen, in: Comptes rendus du congrès international des mathématiciens, Oslo 1936, Tome I, A.W. Broggers Boktrykkeri, 1937.
7. K. Gürlebeck, W. Sprössig, Quaternionic and Clifford Calculus for Physicists and Engineers, in: Mathematical Methods in Practice, Vol. 1, Wiley, 1997.
8. V. Kravchenko, M.V. Shapiro, Integral Representations for Spatial Models of Mathematical Physics, Longman, Harlow, 1996.
9. I. Mitelman, M.V. Shapiro, Differentiation of the Martinelli-Bochner integrals and the notion of hyperderivability, Math. Nachr. 172 (1995) 211-238.
10. G. Moisil, Sur l'équation Δu = 0, C. R. Acad. Sci. Paris, Série I 191 (1930) 984-986.
11. n, Springer-Verlag, 1980.
12. M.V. Shapiro, Some remarks on generalizations of the one-dimensional complex analysis: hypercomplex approach, in: Functional Analytic Methods in Complex Analysis and Applications to Partial Differential Equations Trieste, 1993, World Sci. Publishing, River Edge, NJ, 1995, pp. 379-401.