Fourier method for solving two-sided convolution equations on finite noncommutative groups

DOI10.1134/S0965542518100044OpenAlexW2899968331WikidataQ128965245 ScholiaQ128965245MaRDI QIDQ1757727

D. A. Leonov, V. M. Deundyak

Publication date: 15 January 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542518100044

zbMATH Keywords

fast Fourier transformdihedral groupfinite Heisenberg groupfinite noncommutative groupstwo-sided convolution equationstwo-sided convolution operators

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Discrete subgroups of Lie groups (22E40) Numerical analysis (65-XX)

Related Items (1)

Fredholm property of integral operators with homogeneous kernels of compact type in the \(L_2\) space on the Heisenberg group

Cites Work

• An algebra containing the two-sided convolution operators
• Local algebras of two-sided convolutions on the Heisenberg group
• The problem of scattering from bodies with a noncommutative finite group of symmetries and its numerical solution
• Local behavior of two-sided convolution operators with singular kernels on the Heisenberg group
• Efficient computation of Fourier inversion for finite groups
• Symmetry, Geometry and Quantization with Hypercomplex Numbers
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