Uncertainty and Analyticity
Mathematical Physics
2015-08-19 v2 math.MP
Quantum Physics
Abstract
We describe a connection between minimal uncertainty states and holomorphy-type conditions on the images of the respective wavelet transform. The most familiar example is the Fock-Segal-Bargmann transform generated by the Gaussian, however, this also occurs under more general assumptions.
Cite
@article{arxiv.1312.4583,
title = {Uncertainty and Analyticity},
author = {Vladimir V. Kisil},
journal= {arXiv preprint arXiv:1312.4583},
year = {2015}
}
Comments
AMS-LaTeX, 7 p., no figures; v2: misprints are corrected