ABSTRACT

We give a short introduction to Clifford analysis plus some more recent developments. More details may be found in [Gibu83] or [Brds82]. Let An be a Clifford algebra over the n-dimensional real vector space Vn with orthogonal basis e := {e 1, · · ·, en }. Then An has as its basis the elements e 1, · · ·, en ; e 1 e 2, · · ·, e n−1 en ; · · ·; e 1 e 2 · · · en . An arbitrary element may be written as eA = e α1 · · · eαh where the h-tuple A := {α1, · · ·, α h } ⊂ {1, · · ·, n} and 1 ≤ α1 < · · · ≤ α h ≤ n. In general, the elements do not commute as https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003417019/eed074ff-a22f-4044-8fec-c2ab8430cc1c/content/unequ9_1.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/>