| Issue |
4open
Volume 2, 2019
Difference & Differential Equations and Applications
|
|
|---|---|---|
| Article Number | 2 | |
| Number of page(s) | 11 | |
| Section | Mathematics - Applied Mathematics | |
| DOI | https://doi.org/10.1051/fopen/2018010 | |
| Published online | 04 March 2019 | |
- Atakishiyeva MK, Atakishiyev NM (2015), On the raising and lowering difference operators for eigenvectors of the finite Fourier transform. J Phys: Conf Ser 597, 012012 [CrossRef] [Google Scholar]
- Atakishiyeva MK, Atakishiyev NM (2016), On algebraic properties of the discrete raising and lowering operators, associated with the N-dimensional discrete Fourier transform. Adv Dyn Syst Appl 11, 81–92 [Google Scholar]
- Sylvester JJ (1867), Thoughts on inverse orthogonal matrices, simultaneous sign successions, and tessellated pavements in two or more colours, with applications to Newton’s rule, ornamental tile-work, and the theory of numbers. Philos Mag 34, 461–475 [CrossRef] [Google Scholar]
- Koekoek R, Lesky PA, Swarttouw RF (2015), Hypergeometric orthogonal polynomials and their q-analogues, Springer-Verlag, Berlin, Heidelberg [Google Scholar]
- Landau LD, Lifshitz EM (1991), Quantum mechanics (non-relativistic theory), Pergamon Press, Oxford [Google Scholar]
- Atakishiyeva MK, Atakishiyev NM, Méndez Franco J (2016), On a discrete number operator associated with the 5D discrete Fourier transform, Differential and difference equations with applications, Vol. 164 of Springer Proceedings in Mathematics & Statistics, Springer, NY, pp. 273–292 [CrossRef] [Google Scholar]
- McClellan JH, Parks TW (1972), Eigenvalue and eigenvector decomposition of the discrete Fourier transform, IEEE Trans Audio Electroacoust AU-20, 66–74 [CrossRef] [Google Scholar]
- Auslander L, Tolimieri R (1979), Is computing with the finite Fourier transform pure or applied mathematics ? Bull Am Math Soc 1, 847–897 [CrossRef] [Google Scholar]
- Shapiro H (2015), Linear algebra and matrices, AMS, Providence, Rhode Island [Google Scholar]
- Robinson DJS (2006), A course in linear algebra with applications, World Scientific, Singapore. [Google Scholar]
- Brading K, Castellani E, Teh N (2017), Symmetry and symmetry breaking, in: EN Zalta (Ed.), The Stanford Encyclopedia of Philosophy Archive, Winter 2017 edn., Stanford, USA. [Google Scholar]