Abstract
The question in the title is ambiguous. At least the understanding of words essentially different and function theory should be clarified. We discuss approaches to do that.
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References
Berestetskii V. B., Lifshitz E. M., and Pitaevski L. P. (1982) Quantum Electrodynamics, volume 4 of L. D. Landay and E. M. Lifshitz, Course of Theoretical Physics, Pergamon Press, Oxford, second edition.
Bogoliubov N. N. and Shirkov D. V. (1980) Introduction to the Theory of Quantized Fields, John Willey & Sons, Inc., New York, third edition.
Brackx F., Delanghe R. and Sommen F. (1982) Clifford Analysis, volume 76 of Research Notes in Mathematics, Pitman Advanced Publishing Program, Boston.
Cnops J. (1994) Hurwitz Pairs and Applications of Möbius Transformations, Habilitation dissertation, Universiteit Gent, Faculteit van de Wetenschappen.
Delanghe R., Sommen F., and Souček V. (1992) Clifford Algebra and Spinor-Valued Functions, Kluwer Academic Publishers, Dordrecht.
Keller J. (1993) The geometric content of the electron theory. part i., Adv. in Appl. Clifford Algebras 3(2), 147–200.
Kisil V. V. (1994) Relative convolutions. I. Properties and applications., Reporte Interno # 162, Departamento de Matemáticas, CINVESTAV del I.P.N., Mexico City. e-print archive fuct-an/9410001, to appear in Advances in Mathamatics.
Kisil V. V. (1995) Connection between different function theories in Clifford analysis, Adv. in Appl. Clifford Algebras 5(1), 63–74, e-print archive funct-an/9501002.
Kisil V. V. (1995) Construction of integral representations in spaces of analytical functions, Dokl. Akad. Nauk SSSR, 18, (To appear).
Kisil V. V. (1995) Integral representation and coherent states, Bull. Soc. Math. Belg. Sér. A, 18, (To appear).
Kisil V. V. (1996) Möbius transformations and monogenic functional calculus, Electr. Research Announcements of AMS 2(1), (To appear).
Kravchenko V. V. (1995) On biquaternionic bag model, Zeitschrift für Anal. und ihre Anwend. 14(1), (To appear).
Mitelman I. and Shapiro M. (1995) Differentiation of the Martinelli-Bochner integral and the notion of hyperdifferentiability, Math. Nachr. 172, 211–238.
Ryan J. (1993) Intrinsic Dirac operator in Cn, Advances in Mathematics, 43, (To appear).
Ryan J. (1995) Some application of conformal covariance in Clifford analysis, in J. Ryan, Clifford Algebras in Analysis and Related Topics, 128–155, CRC Press, Boca Raton.
Shapiro M. and Vasilevski N. (1994) Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems. I. ψ-Hyperholomorphic function theory, Complex Variables Theory Appl. 27.
Sommen F. (1995) Universal algebras coming from factorization, 10, Preprint.
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Kisil, V.V. (1998). How Many Essentialy Different Function Theories Exist?. In: Dietrich, V., Habetha, K., Jank, G. (eds) Clifford Algebras and Their Application in Mathematical Physics. Fundamental Theories of Physics, vol 94. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5036-1_14
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DOI: https://doi.org/10.1007/978-94-011-5036-1_14
Publisher Name: Springer, Dordrecht
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