Generating the true S-poly-Bargmann spaces by sliced creation operators and associated integral transforms

We deal with an operational realization of the so-called n-th true S-poly-Bargmann space. We show that it can be realized as the range of the iterated sliced creation operator, and that it is close to the spectral analysis of a sliced magnetic Laplacian for which we provide a geometrical realization à la Hodge. Some integral representations of the considered spaces are also investigated.