scientific article

zbMath0476.58024MaRDI QIDQ3933670

Peter C. Greiner

Publication date: 1981

Full work available at URL: https://eudml.org/doc/111771

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zbMATH Keywords

Hans Lewy operatorinverting left invariant operators on the Heisenberg-groupLaguerre matrix of the composition of two convolution operatorsmultiplicative symbolic calculus for left-invariant zero-order homogeneous pseudo-differential operators on the Heisenberg groupprincipal value convolution operators on C

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analysis on real and complex Lie groups (22E30) Pseudodifferential and Fourier integral operators on manifolds (58J40) Analysis on other specific Lie groups (43A80) Representations of solutions to partial differential equations (35C99)

Related Items (7)

Intégrales de Fourier quadratiques et calcul symbolique exact sur le groupe d'Heisenberg. (Quadratic Fourier integrals and exact symbolic calculus on the Heisenberg group) ⋮ The Laguerre calculus on the nilpotent Lie groups of step two ⋮ Approximate identities from Laguerre functions and singular integrals on the Heisenberg group ⋮ Moment versions of the Morera problem in \(\mathbb C^n\) and \(\mathbb H^n\). ⋮ La série discrète de ${\rm SL}(2,\,{R})$ et les opérateurs pseudo-différentiels sur une demi-droite ⋮ Real analytic expansion of spectral projections and extension of the Hecke-Bochner identity ⋮ A functional calculus on the Heisenberg group and the boundary layer potential \(\square_+^{-1}\) for the \(\bar\partial\)-Neumann problem

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