Intégrales de Fourier quadratiques et calcul symbolique exact sur le groupe d'Heisenberg. (Quadratic Fourier integrals and exact symbolic calculus on the Heisenberg group)

DOI10.1016/0022-1236(86)90006-6zbMath0609.43007OpenAlexW1974597483MaRDI QIDQ1086772

Peter C. Greiner, Bernard Gaveau, Jacques Vauthier

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90006-6

zbMATH Keywords

Heisenberg groupLaguerre polynomialsinvariant operatorsSchwartz functionsHermite functionssymbolic calculusFourier transform with quadratic exponent

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Other transforms and operators of Fourier type (43A32) Analysis on other specific Lie groups (43A80) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (2)

The Moyal representation of quantum mechanics and special function theory ⋮ On estimates for the Besov norms of solutions to 3D subelliptic equations

Cites Work

• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Calculus on Heisenberg Manifolds. (AM-119)
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