Isometric imbeddings of Euclidean spaces into finite dimensional -spaces
Banach Center Publications (1995)
- Volume: 34, Issue: 1, page 79-87
- ISSN: 0137-6934
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topKönig, Hermann. "Isometric imbeddings of Euclidean spaces into finite dimensional $l_p$-spaces." Banach Center Publications 34.1 (1995): 79-87. <http://eudml.org/doc/251336>.
@article{König1995,
abstract = {It is shown that $l^n_2$ imbeds isometrically into $l^\{n^2+1\}_4$ 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.},
author = {König, Hermann},
journal = {Banach Center Publications},
keywords = {number theory; combinatorics; coding theory; imbeddings; cubature formulas in numerical analysis},
language = {eng},
number = {1},
pages = {79-87},
title = {Isometric imbeddings of Euclidean spaces into finite dimensional $l_p$-spaces},
url = {http://eudml.org/doc/251336},
volume = {34},
year = {1995},
}
TY - JOUR
AU - König, Hermann
TI - Isometric imbeddings of Euclidean spaces into finite dimensional $l_p$-spaces
JO - Banach Center Publications
PY - 1995
VL - 34
IS - 1
SP - 79
EP - 87
AB - It is shown that $l^n_2$ imbeds isometrically into $l^{n^2+1}_4$ 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.
LA - eng
KW - number theory; combinatorics; coding theory; imbeddings; cubature formulas in numerical analysis
UR - http://eudml.org/doc/251336
ER -
References
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