Hurwitz analysis: basic concepts and connection with Clifford analysis

• Autorzy: Enrique Ramírez de Arellano , Nikolai Vasilevski , Michael Shapiro
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1996
• Tom: 37
• Numer: 1
• Strony: 209-221

Daty

wydano

1996

Twórcy

autor

Enrique Ramírez de Arellano

• Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados, del Instituto Politécnico Nacional, 07000 México, D.F., México

autor

Nikolai Vasilevski

• Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados, del Instituto Politécnico Nacional, 07000 México, D.F., México

autor

Michael Shapiro

• Departamento de Matemáticas, E.S.F.M., Instituto Politecnico Nacional, U.P.A.L.M., Edificio No. 9, Zacatenco, 07000 México 14, D.F., México

Bibliografia

• [BDS] F. Brackx, R. Delanghe, F. Sommen, Clifford Analysis, Pitman Research Notes in Math. 76, 1982.
• [H1] A. Hurwitz, Über die Komposition der quadratischen Formen von beliebig vielen Variablen, Nachrichten von der Königlichen Gesellschaft der Wiessenschaften zu Göttingen Math. phys. Kl. (1898), 308-316, reprinted in: A. Hurwitz, Mathematische Werke II, Birkhäuser Verlag, Basel, 1933, 565-571.
• [H2] A. Hurwitz, Über die Komposition der quadratischen Formen, Math. Ann. 88 (1923), 1-25, reprinted in: A. Hurwitz, Mathematische Werke II, Birkhäuser Verlag, Basel, 1933, 641-666.
• [KR1] W. Królikowski and E. Ramírez de Arellano, Fueter-Hurwitz regular mappings and an integral representation, in: Clifford Algebras and Their Applications in Mathematical Physics, A. Micali et al., eds., Kluwer Acad. Publishers, Dordrecht 1992, 221-237.
• [KR2] W. Królikowski and E. Ramírez de Arellano, Polynomial solutions of the Fueter-Hurwitz equation, Cont. Math. 137 (1992), 297-305.
• [LR] J. Ławrynowicz and J. Rembieliński, Pseudo-euclidean Hurwitz pairs and generalized Fueter equations, in: Clifford Algebras and Their Applications in Mathematical Physics, J.S.R. Chisholm and A.K. Common, eds., D. Reidel Publ. Co., Dordrecht 1986, 39-48.
• [RSV1] E. Ramírez de Arellano, M. V. Shapiro, N. L. Vasilevski, A canonical relation between Hurwitz pairs and Clifford algebras, Reporte Interno No. 112, Dep. Mat., CINVESTAV del IPN., Mexico City, 1993, 34 pp.
• [RSV2] E. Ramírez de Arellano, Hurwitz pairs and Clifford algebra representations, in: Clifford Algebras and Their Applications in Mathematical Physics, F. Brackx, R. Delanghe and H. Serras eds., Kluwer Acad. Publishers, Dordrecht 1993, 171-181.
• [S] M. V. Shapiro, Some remarks on generalizations of the one-dimensional complex analysis: hypercomplex approach, Reporte Interno No. 131, Dep. Mat., CINVESTAV del IPN., Mexico City, 1993, 23 pp.
• [Sh] D. B. Shapiro, Products of sums of squares, Expo. Math. 2 (1984), 235-261.
• [SY] T. L. Smith and P. Yiu, Construction of sums of squares formulae with integer coefficients, Bol. Soc. Mat. Mexicana (2) 37 (1992), 479-495.