Displaying similar documents to “Fischer decompositions in Euclidean and Hermitean Clifford analysis”

Isometric imbeddings of Euclidean spaces into finite dimensional l p -spaces

Hermann König (1995)

Banach Center Publications

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It is shown that l 2 n imbeds isometrically into l 4 n 2 + 1 provided that n is a prime power plus one, in the complex case. This and similar imbeddings are constructed using elementary techniques from number theory, combinatorics and coding theory. The imbeddings are related to existence of certain cubature formulas in numerical analysis.

Stone-Weierstrass theorem

Guy Laville, Ivan Ramadanoff (1996)

Banach Center Publications

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It will be shown that the Stone-Weierstrass theorem for Clifford-valued functions is true for the case of even dimension. It remains valid for the odd dimension if we add a stability condition by principal automorphism.