Laguerre Calculus and Its Applications on the Heisenberg Group

The Laguerre calculus Estimates for powers of the sub-Laplacian Estimates for the spectrum projection operators of the sub-Laplacian The inverse of the operator $\square_{\alpha} = {\sum}^n_{j=1}({X^2_j} - {X^2_{j+n}}) - 2i{\alpha}$T The explicit solution of the $\bar{\partial}$-Neumann problem in a non-isotropic Siegel domain Injectivity of the Pompeiu transform in the isotropic H$_n$ Morera-type theorems for holomorphic $\mathcal H^p$ spaces in H$_n$ (I) Morera-type theorems for holomorphic $\mathcal H^p$ spaces in H$_n$ (II).

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