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ArticleOriginal scientific text

Title

Isometric imbeddings of Euclidean spaces into finite dimensional lp-spaces

Authors 1

Affiliations

  1. Mathematisches Seminar, Universität Kiel, Ludewig-Meyn-Str. 4, 24098 KIEL, Germany

Abstract

It is shown that ln_2 imbeds isometrically into ln2+1_4 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.

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Banach Center Publications
1995/34/1
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Pages:
79-87
Main language of publication
English
Published
1995
Exact and natural sciences