高维空间中的 Bargmann 变换的有界性

Boundedness of Bargmann transformations on high-dimensional spaces

摘要:

本文研究了高维空间中的 Bargmann 变换，给出了变换的有界性刻画. 基于经典积分变换与Bargmann 变换之间的关系, 本文还引入另一种方法来讨论Bargmann 变换在高维情况下的有界性.

Abstract:

This paper mainly studies the Bargmann transform in high-dimensional space, and gives the boundedness of the Bargmann transform. Based on the relationship between classical integral transformation and Bargmann transformation, an atternative method is introduced to discuss the boundedness of Bargmann transformation in high dimensional case.