Waldhauser Tamás: On eigenvectors of the Pascal and Reed-Muller-Fourier transforms. In: Acta cybernetica, (23) 3. pp. 959-979. (2018)
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Abstract
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 |
| ISSN: | 0324-721X |
| Page Range: | pp. 959-979 |
| Language: | English |
| Place of Publication: | Szeged |
| Related URLs: | http://acta.bibl.u-szeged.hu/55467/ |
| Uncontrolled Keywords: | Reed-Muller-Fourier-transzformáció, Pascal-transzformáció, Többváltozós függvény, Logika, Transzformáció |
| Additional Information: | Bibliogr.: p. 975-976. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics 01. Natural sciences > 01.02. Computer and information sciences |
| Date Deposited: | 2018. Nov. 08. 09:12 |
| Last Modified: | 2022. Jun. 21. 08:41 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/55688 |
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