Bargmann transform

The Bargmann transform of a function, f, is a linear map B:X()Y() defined by


The Bargmann transform on L2(R), B:L2(R)F2(C), is a unitary transformation. Here F2(C) is the Fock space.


  • 1 Karlheinz Gröchenig, ”Foundations of Time-Frequency Analysis,” Birkhhäuser (2000)
Title Bargmann transform
Canonical name BargmannTransform
Date of creation 2013-03-22 16:44:45
Last modified on 2013-03-22 16:44:45
Owner ErlendA (6587)
Last modified by ErlendA (6587)
Numerical id 7
Author ErlendA (6587)
Entry type Definition
Classification msc 43A15
Defines Bargmann transform