Discrete cosine and sine transforms generalized to honeycomb lattice II. Zigzag boundaries

DOI10.1063/5.0048207zbMath1497.42014OpenAlexW3198159884WikidataQ113281468 ScholiaQ113281468MaRDI QIDQ5154283

Jiří Hrivnák, Lenka Motlochová

Publication date: 4 October 2021

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

Full work available at URL: https://doi.org/10.1063/5.0048207

zbMATH Keywords

discrete complex Fourier-Weyl transformsreal-valued Hartley-Weyl transformszigzag honeycomb point sets

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

On electron propagation in triangular graphene quantum dots ⋮ Quantum particle on dual weight lattice in even Weyl alcove

Cites Work

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• Gaussian cubature arising from hybrid characters of simple Lie groups
• Symmetry constraints on phonon dispersion in graphene
• Cubature formulae for orthogonal polynomials in terms of elements of finite order of compact simple Lie groups
• Discrete Fourier analysis on fundamental domain and simplex of \(A_{d}\) lattice in \(d\)-variables
• Dual-root lattice discretization of Weyl orbit functions
• Generating functions for orthogonal polynomials of \(A_{2}\), \(C_{2}\) and \(G_{2}\)
• Antisymmetric orbit functions
• \(E\)-orbit functions
• Orbit functions
• A mathematical analysis of the DCT coefficient distributions for images
• Weight-lattice discretization of Weyl-orbit functions
• On discretization of tori of compact simple Lie groups: II
• OnE-discretization of tori of compact simple Lie groups
• On discretization of tori of compact simple Lie groups
• Discrete cosine and sine transforms generalized to honeycomb lattice
• On E–discretization of tori of compact simple Lie groups. II
• Steerable Discrete Cosine Transform
• A simple model for the vibrational modes in honeycomb lattices
• Graphene, Lattice Field Theory and Symmetries
• Quantum particle on dual root lattice in Weyl alcove

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