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@article{faucris.110426404,
abstract = {The loop transform in quantum gauge field theory can be recognized as the Fourier transform (or characteristic functional) of a measure on the space of generalized connections module gauge transformations. Since this space is a compact Hausdorff space, conversely, we know from the Riesz-Markov theorem that every positive linear functional on the space of continuous functions thereon qualifies as the loop transform of a regular Borel measure on the moduli space. In the present article we show how one can compute the finite joint distributions of a given characteristic functional, that is, we derive the inverse loop transform. (C) 1998 American Institute of Physics. [S002-2488(98)00302-8].},
author = {Thiemann, Thomas},
faupublication = {no},
journal = {Journal of Mathematical Physics},
pages = {1236-1248},
peerreviewed = {Yes},
title = {{The} inverse loop transform},
volume = {39},
year = {1998}
}