Boundary Value Problems for Harmonic Functions on the Heisenberg Group

DOI10.4153/CJM-1986-024-9zbMath0655.22005MaRDI QIDQ3801795

Charles F. Dunkl

Publication date: 1986

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fourier transformDirichlet problemHeisenberg groupunitary groupPoisson kernelirreducible modulesboundary valuesunit ballhypergeometric equationinvariant second order differential operators

Mathematics Subject Classification ID

Boundary values of solutions to elliptic equations and elliptic systems (35J67) Nilpotent and solvable Lie groups (22E25) Analysis on other specific Lie groups (43A80)

Related Items (6)

Fredholm property of a family of operators on the five-dimensional Heisenberg group. ⋮ Heisenberg uniqueness pairs for the Fourier transform on the Heisenberg group ⋮ Real analytic expansion of spectral projections and extension of the Hecke-Bochner identity ⋮ Non-harmonic cones are sets of injectivity for the twisted spherical means on ℂⁿ ⋮ Classical and quantum Heisenberg groups, their representations and applications ⋮ Uniform treatment of Darboux’s method and the Heisenberg polynomials

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