Fundamental solutions to \({\square_b}\) on certain quadrics

DOI10.1007/s12220-012-9303-7zbMath1277.32048arXiv1110.5804OpenAlexW2169188495WikidataQ126037642 ScholiaQ126037642MaRDI QIDQ375710

Albert Boggess, Andrew S. Raich

Publication date: 31 October 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5804

zbMATH Keywords

Heisenberg groupfundamental solutionLie groupquadricsKohn Laplaciancomplex Green operator

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analysis on other specific Lie groups (43A80) Subelliptic equations (35H20) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items

The fundamental solution to \(\Box_b\) on quadric manifolds. II: \(L^p\) regularity and invariant normal forms ⋮ The Szegö kernel on a class of non-compact CR manifolds of high codimension ⋮ The fundamental solution to \Box_{𝑏} on quadric manifolds – Part 1. General formulas ⋮ The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues ⋮ The fundamental solution to \(\Box_b\) on quadric manifolds with nonzero eigenvalues and null variables ⋮ The fundamental solution to \(\Box_b\) on quadric manifolds. III: Asymptotics for a codimension 2 case in \({\mathbb{C}}^4\) ⋮ Analysis on quadrics

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