Complex Hadamard matrices and the spectral set conjecture.

Mihail N. Kolountzakis; Máté Matolcsi

Collectanea Mathematica (2006)

  • Volume: 57, Issue: Extra, page 281-291
  • ISSN: 0010-0757

Abstract

top
By analyzing the connection between complex Hadamard matrices and spectral sets, we prove the direction "spectral ⇒ tile" of the Spectral Set Conjecture, for all sets A of size |A| ≤ 5, in any finite Abelian group. This result is then extended to the infinite grid Zd for any dimension d, and finally to Rd.

How to cite

top

Kolountzakis, Mihail N., and Matolcsi, Máté. "Complex Hadamard matrices and the spectral set conjecture.." Collectanea Mathematica 57.Extra (2006): 281-291. <http://eudml.org/doc/41780>.

@article{Kolountzakis2006,
abstract = {By analyzing the connection between complex Hadamard matrices and spectral sets, we prove the direction "spectral ⇒ tile" of the Spectral Set Conjecture, for all sets A of size |A| ≤ 5, in any finite Abelian group. This result is then extended to the infinite grid Zd for any dimension d, and finally to Rd.},
author = {Kolountzakis, Mihail N., Matolcsi, Máté},
journal = {Collectanea Mathematica},
keywords = {Geometría discreta; Teselaciones; Análisis de Fourier; Grupos abelianos},
language = {eng},
number = {Extra},
pages = {281-291},
title = {Complex Hadamard matrices and the spectral set conjecture.},
url = {http://eudml.org/doc/41780},
volume = {57},
year = {2006},
}

TY - JOUR
AU - Kolountzakis, Mihail N.
AU - Matolcsi, Máté
TI - Complex Hadamard matrices and the spectral set conjecture.
JO - Collectanea Mathematica
PY - 2006
VL - 57
IS - Extra
SP - 281
EP - 291
AB - By analyzing the connection between complex Hadamard matrices and spectral sets, we prove the direction "spectral ⇒ tile" of the Spectral Set Conjecture, for all sets A of size |A| ≤ 5, in any finite Abelian group. This result is then extended to the infinite grid Zd for any dimension d, and finally to Rd.
LA - eng
KW - Geometría discreta; Teselaciones; Análisis de Fourier; Grupos abelianos
UR - http://eudml.org/doc/41780
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.