Harmonic Analysis on the Heisenberg Group

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An extension problem for the CR fractional Laplacian (2013, methodology): “Let us recall the Fourier transform on the Heisenberg group Hn, defined by using the irreducible representation of Hn from the Stone–Von Neumann theorem (see [3, 30, 63] for the necessary background).”
Quantization on Nilpotent Lie Groups (2016, background): “We do not intend to make an overview of the subject here, but we refer to the books of Stein [Ste93] and Thangavelu [Tha98] for an introduction to the harmonic analysis on the Heisenberg group and for the historic development of the area.”
Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group (2015, methodology): “We will use these relations in the sequel, and refer the reader to [30] or [31] for more details.”