## Taiwanese Journal of Mathematics

### A POINTWISE BOUND FOR ROTATION-INVARIANT HOLOMORPHIC FUNCTIONS THAT ARE SQUARE INTEGRABLE WITH RESPECT TO A GAUSSIAN MEASURE

#### Abstract

We consider the subspace of Segal-Bargmann space which is invariant under the action of the special orthogonal group. We establish a pointwise bound for a function in this space which is polynomially better than the pointwise bound for a function in the Segal-Bargmann space.

#### Article information

Source
Taiwanese J. Math., Volume 11, Number 5 (2007), 1443-1455.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500404877

Digital Object Identifier
doi:10.11650/twjm/1500404877

Mathematical Reviews number (MathSciNet)
MR2368662

Zentralblatt MATH identifier
1141.46011

#### Citation

Kaewthep, Areerak; Lewkeeratiyutkul, Wicharn. A POINTWISE BOUND FOR ROTATION-INVARIANT HOLOMORPHIC FUNCTIONS THAT ARE SQUARE INTEGRABLE WITH RESPECT TO A GAUSSIAN MEASURE. Taiwanese J. Math. 11 (2007), no. 5, 1443--1455. doi:10.11650/twjm/1500404877. https://projecteuclid.org/euclid.twjm/1500404877