On Paley-Wiener theorems for the Heisenberg group

Thangavelu, S. (1993) On Paley-Wiener theorems for the Heisenberg group Journal of Functional Analysis, 115 (1). pp. 24-44. ISSN 0022-1236

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1006/jfan.1993.1079

Abstract

In this paper we prove two Paley-Wiener-type theorems for the Heisenberg group. One is for the group Fourier transform which is the analogue of the classical Paley-Wiener theorem. The other one is for the spectral projections associated to the sub-Laplacian.

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