Treffer: The number of harmonic frames of prime order
Title:
The number of harmonic frames of prime order
Authors:
Source:
Linear algebra and its applications. 432(5):1105-1125
Publisher Information:
Amsterdam: Elsevier, 2010.
Publication Year:
2010
Physical Description:
print, 11 ref
Original Material:
INIST-CNRS
Subject Terms:
Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Combinatoire. Structures ordonnées, Combinatorics. Ordered structures, Combinatoire, Combinatorics, Problèmes combinatoires classiques, Classical combinatorial problems, Théorie des groupes, Group theory, Théorie des groupes et généralisations, Group theory and generalizations, Analyse Fourier, Fourier analysis, Análisis Fourier, Combinatoire énumérative, Enumerative combinatorics, Dénombrement, Enumeration(counting), Recuento, Enumération, Enumeration, Enumeración, Fonction orthogonale, Orthogonal function, Función ortogonal, Groupe symétrie, Symmetry group, Grupo simetría, Matrice diagonale, Diagonal matrix, Matriz diagonal, Matrice permutation, Permutation matrix, Matriz permutación, Méthode récursive, Recursive method, Método recursivo, Optimisation combinatoire, Combinatorial optimization, Optimización combinatoria, Orbite, Orbit, Orbita, Prise de décision, Decision making, Toma decision, Sous groupe, Subgroup, Subgrupo, 20E07, Finite unit norm tight frame, Harmonic frame, Primary 42C15, Secondary 05A05, Symmetry group of frame
Document Type:
Fachzeitschrift
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, University of Maryland, College Park, MD 20742, United States
ISSN:
0024-3795
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.22388666
Database:
PASCAL Archive
Weitere Informationen
Harmonic frames of prime order are investigated. The primary focus is the enumeration of inequivalent harmonic frames, with the exact number given by a recursive formula. The key to this result is a one-to-one correspondence developed between inequivalent harmonic frames and the orbits of a particular set. Secondarily, the symmetry group of prime order harmonic frames is shown to contain a subgroup consisting of a diagonal matrix as well as a permutation matrix, each of which is dependent on the particular harmonic frame in question.