Taiwanese Journal of Mathematics

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

Areerak Kaewthep and Wicharn Lewkeeratiyutkul

Full-text: Open access

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

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1500404877

Digital Object Identifier
doi:10.11650/twjm/1500404877

Mathematical Reviews number (MathSciNet)
MR2368662

Zentralblatt MATH identifier
1141.46011

Subjects
Primary: 22E30: Analysis on real and complex Lie groups [See also 33C80, 43-XX] 81S30: Phase-space methods including Wigner distributions, etc. 53D50: Geometric quantization 60H30: Applications of stochastic analysis (to PDE, etc.)
Secondary: 43A32: Other transforms and operators of Fourier type 46E20: Hilbert spaces of continuous, differentiable or analytic functions 58J25

Keywords
Segal-Bargmann rotation-invariant Gaussian measure pointwise bound

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


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