Displaying similar documents to “Relations among arithmetical functions, automatic sequences, and sum of digits functions induced by certain Gray codes”

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.