Hyperorthogonal family of vectors and the associated Gram matrix

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Standard

Hyperorthogonal family of vectors and the associated Gram matrix. / Fuglede, Bent.

I: L’Enseignement Mathématique, Bind 60, Nr. 1/2, 2014, s. 31-41.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Fuglede, B 2014, 'Hyperorthogonal family of vectors and the associated Gram matrix', L’Enseignement Mathématique, bind 60, nr. 1/2, s. 31-41. https://doi.org/10.4171/LEM/60-1/2-3

APA

Fuglede, B. (2014). Hyperorthogonal family of vectors and the associated Gram matrix. L’Enseignement Mathématique, 60(1/2), 31-41. https://doi.org/10.4171/LEM/60-1/2-3

Vancouver

Fuglede B. Hyperorthogonal family of vectors and the associated Gram matrix. L’Enseignement Mathématique. 2014;60(1/2):31-41. https://doi.org/10.4171/LEM/60-1/2-3

Author

Fuglede, Bent. / Hyperorthogonal family of vectors and the associated Gram matrix. I: L’Enseignement Mathématique. 2014 ; Bind 60, Nr. 1/2. s. 31-41.

Bibtex

@article{f0a81aeddd474d21ac3974b12393040e,
title = "Hyperorthogonal family of vectors and the associated Gram matrix",
abstract = "A family of non-zero vectors in Euclidean n -space is termed hyperorthogonal if the angle between any two distinct vectors of the family is at least π/2 . Any hyperorthogonal family is finite and contains at most 2n vectors. It decomposes uniquely into the union of mutually orthogonal irreducible subfamilies. An equivalent formulation in terms of the associated Gram matrix is given. ",
author = "Bent Fuglede",
year = "2014",
doi = "10.4171/LEM/60-1/2-3",
language = "English",
volume = "60",
pages = "31--41",
journal = "Enseignement Mathematique",
issn = "0013-8584",
publisher = "European Mathematical Society Publishing House",
number = "1/2",

}

RIS

TY - JOUR

T1 - Hyperorthogonal family of vectors and the associated Gram matrix

AU - Fuglede, Bent

PY - 2014

Y1 - 2014

N2 - A family of non-zero vectors in Euclidean n -space is termed hyperorthogonal if the angle between any two distinct vectors of the family is at least π/2 . Any hyperorthogonal family is finite and contains at most 2n vectors. It decomposes uniquely into the union of mutually orthogonal irreducible subfamilies. An equivalent formulation in terms of the associated Gram matrix is given.

AB - A family of non-zero vectors in Euclidean n -space is termed hyperorthogonal if the angle between any two distinct vectors of the family is at least π/2 . Any hyperorthogonal family is finite and contains at most 2n vectors. It decomposes uniquely into the union of mutually orthogonal irreducible subfamilies. An equivalent formulation in terms of the associated Gram matrix is given.

U2 - 10.4171/LEM/60-1/2-3

DO - 10.4171/LEM/60-1/2-3

M3 - Journal article

VL - 60

SP - 31

EP - 41

JO - Enseignement Mathematique

JF - Enseignement Mathematique

SN - 0013-8584

IS - 1/2

ER -

ID: 137746168