On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann analysis
Pita-Ruiz, C. ; Sontz, S. B.
arXiv, 0507037 / Harvested from arXiv
Text on arXiv
We consider a deformation of Segal-Bargmann space and its transform. We study L^p properties of this transform and obtain entropy-entropy inequalities (Hirschman) and entropy-energy inequalities (log-Sobolev) that generalize the corresponding known results in the undeformed theory.
Publié le : 2005-07-15
Classification:  Mathematical Physics,  81Qxx 
@article{0507037,
     author = {Pita-Ruiz, C. and Sontz, S. B.},
     title = {On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann
  analysis},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0507037}
}

Pita-Ruiz, C.; Sontz, S. B. On Hirschman and log-Sobolev inequalities in mu-deformed Segal-Bargmann
  analysis. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0507037/