```
Angulo Aguila, Carlos, Sontz, Stephen Bruce, and Centro de Investigacion en Matematicas, A.C..
```*Reverse inequalities in {mu}-deformed Segal-Bargmann analysis*. United States: N. p., 2006.
Web. doi:10.1063/1.2186257.

```
Angulo Aguila, Carlos, Sontz, Stephen Bruce, & Centro de Investigacion en Matematicas, A.C..
```*Reverse inequalities in {mu}-deformed Segal-Bargmann analysis*. United States. doi:10.1063/1.2186257.

```
Angulo Aguila, Carlos, Sontz, Stephen Bruce, and Centro de Investigacion en Matematicas, A.C.. Sat .
"Reverse inequalities in {mu}-deformed Segal-Bargmann analysis". United States.
doi:10.1063/1.2186257.
```

```
@article{osti_20768760,
```

title = {Reverse inequalities in {mu}-deformed Segal-Bargmann analysis},

author = {Angulo Aguila, Carlos and Sontz, Stephen Bruce and Centro de Investigacion en Matematicas, A.C.},

abstractNote = {We prove reverse hypercontractivity inequalities as well as reverse log-Sobolev inequalities in the context of a space of holomorphic functions, which is called the {mu}-deformed Segal-Bargmann space and arises in the works of Wigner, Rosenblum, and Marron. To achieve this we define {mu}-deformations of energy and entropy. Our principle results generalize earlier works of Carlen and Sontz. We also show that the semigroup of this theory is L{sup p} bounded, and we conjecture that it is L{sup p} contractive and, even more strongly, that it is hypercontractive.},

doi = {10.1063/1.2186257},

journal = {Journal of Mathematical Physics},

number = 4,

volume = 47,

place = {United States},

year = {Sat Apr 15 00:00:00 EDT 2006},

month = {Sat Apr 15 00:00:00 EDT 2006}

}