Abstract
Instead of spinor- or Clifford algebra-valued functions we are dealing with functions taking values in some space of spinor- or Clifford algebra-valued polynomials. We characterise the Gl(m)—invariant differential operators acting on these functions. The so-called monogenic decomposition of these operators leads to a generalised Fischer decomposition into so-called monogenic pieces, hyper-monogenic pieces or hypo-monogenic pieces.
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References
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© 1993 Kluwer Academic Publishers
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Sommen, F., Van Acker, N. (1993). Invariant Differential Operators on Polynomial- Valued Functions. In: Brackx, F., Delanghe, R., Serras, H. (eds) Clifford Algebras and their Applications in Mathematical Physics. Fundamental Theories of Physics, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2006-7_24
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DOI: https://doi.org/10.1007/978-94-011-2006-7_24
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-2347-1
Online ISBN: 978-94-011-2006-7
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