An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform

DOI10.1063/5.0061672zbMath1480.42008arXiv2105.10579OpenAlexW3206301051MaRDI QIDQ5163810

Alexei Zhedanov, Mesuma K. Atakishiyeva, Natig M. Atakishiyev

Publication date: 8 November 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.10579

zbMATH Keywords

Askey-Wilson algebraAskey-Wilson-Heun algebra

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Cites Work

• The universal Askey-Wilson algebra
• Zhedanov's algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case. II. The spherical subalgebra
• ``Hidden symmetry of Askey-Wilson polynomials
• The Heisenberg inequality for the discrete Fourier transform.
• Algebraic Heun operator and band-time limiting
• \(q\)-ultraspherical polynomials for \(q\) a root of unity
• Finite-dimensional irreducible modules of the universal Askey-Wilson algebra at roots of unity
• The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type
• The relationship between Zhedanov's algebra \(AW(3)\) and the double affine Hecke algebra in the rank one case
• Center of the universal Askey-Wilson algebra at roots of unity
• Intertwining relations between the Fourier transform and discrete Fourier transform, the related functional identities and beyond
• ON q-EXTENSIONS OF MEHTA'S EIGENVECTORS OF THE FINITE FOURIER TRANSFORM
• Eigenvectors and functions of the discrete Fourier transform
• Eigenvalues and eigenvectors of the finite Fourier transform
• Is computing with the finite Fourier transform pure or applied mathematics?
• Squeezed states for general systems
• On the Discrete Fourier Transform Eigenvectors and Spontaneous Symmetry Breaking
• Yang-Baxter equation, parameter permutations, and the elliptic beta integral

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