Discrete spectra of convolutions of compactly supported functions on SE(2) using Sturm–Liouville theory

DOI10.1080/10652469.2019.1655644zbMath1452.43002OpenAlexW2975458671MaRDI QIDQ5206076

Arash Ghaani Farashahi, Gregory S. Chirikjian

Publication date: 18 December 2019

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1655644

zbMATH Keywords

series expansionPlancherel formulaDirichlet boundary conditionNeumann boundary conditionorthogonal $L_2$ basis on two-dimensional special Euclidean groupseries expansion of convolutions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items

Fourier–Bessel series of compactly supported convolutions on disks ⋮ Fast Expansion into Harmonics on the Disk: A Steerable Basis with Fast Radial Convolutions ⋮ Fourier-Zernike series of compactly supported convolutions on \(SE(2)\)

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