On eigenvectors of the Pascal and Reed-Muller-Fourier transforms

Waldhauser, Tamás: On eigenvectors of the Pascal and Reed-Muller-Fourier transforms. Acta cybernetica, (23) 3. pp. 959-979. (2018)

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In their paper at the International Symposium on Multiple-Valued Logic in 2017, C. Moraga, R. S. Stankovi´c, M. Stankovi´c and S. Stojkovi´c presented a conjecture for the number of fixed points (i.e., eigenvectors with eigenvalue 1) of the Reed-Muller-Fourier transform of functions of several variables in multiple-valued logic. We will prove this conjecture, and we will generalize it in two directions: we will deal with other transforms as well (such as the discrete Pascal transform and more general triangular self-inverse transforms), and we will also consider eigenvectors corresponding to other eigenvalues.

Item Type: Article
Journal or Publication Title: Acta cybernetica
Date: 2018
Volume: 23
Number: 3
Page Range: pp. 959-979
ISSN: 0324-721X
Uncontrolled Keywords: Reed-Muller-Fourier-transzformáció, Pascal-transzformáció, Többváltozós függvény, Logika, Transzformáció
Additional Information: Bibliogr.: p. 975-976. ; Összefoglalás angol nyelven
Date Deposited: 2018. Nov. 08. 09:12
Last Modified: 2018. Nov. 08. 09:12
URI: http://acta.bibl.u-szeged.hu/id/eprint/55688

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