@article{Murr2013,
  author    = {Murr, R{\"u}diger},
  title     = {Characterization of infinite divisibility by duality formulas application to Levy processes and random measures},
  series = {Stochastic processes and their application},
  volume    = {123},
  journal   = {Stochastic processes and their application},
  number    = {5},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0304-4149},
  doi       = {10.1016/j.spa.2012.12.012},
  pages     = {1729 -- 1749},
  year      = {2013},
  abstract  = {Processes with independent increments are proven to be the unique solutions of duality formulas. This result is based on a simple characterization of infinitely divisible random vectors by a functional equation in which a difference operator appears. This operator is constructed by a variational method and compared to approaches involving chaos decompositions. We also obtain a related characterization of infinitely divisible random measures.},
  language  = {en}
}