Fundamental solutions for the two dimensional affine group and \(\mathbb{H}^{n + 1}\)

DOI10.1016/j.jmaa.2016.08.027zbMath1350.35004OpenAlexW2512694441MaRDI QIDQ323888

Mark Craddock

Publication date: 10 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.08.027

zbMATH Keywords

Kontorovich-Lebedev transformwave and heat kernels

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Transform methods (e.g., integral transforms) applied to PDEs (35A22) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Cites Work

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• On Fourier transforms of radial functions and distributions
• The Kontorovich--Lebedev integral transformation with a Hankel function kernel in a space of generalized functions of doubly exponential descent
• Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. I
• Symmetry group methods for heat kernels
• On a progress in the Kontorovich–Lebedev transform theory and related integral operators

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