Differentiation of the convolution on the roto-translation group

DOI10.1134/S0001434617010199zbMath1373.53017OpenAlexW2591689825MaRDI QIDQ2396405

Nikita Evseev, M. V. Tryamkin

Publication date: 8 June 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617010199

zbMATH Keywords

convolutionroto-translation groupdifferentiation operatorhorizontal vector field

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Classical differential geometry (53A99) Sub-Riemannian geometry (53C17)

Cites Work

• Unnamed Item
• A cortical based model of perceptual completion in the roto-translation space
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Minimal surfaces in the roto-translation group with applications to a neuro-biological image completion model
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• Foundations for the theory of quasiconformal mappings on the Heisenberg group
• The Poincaré inequality for vector fields satisfying Hörmander's condition
• Anthropomorphic Image Reconstruction via Hypoelliptic Diffusion
• Stratified Lie Groups and Potential Theory for their Sub-Laplacians
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28

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