Presentation of some elementary properties of Segal-Bargmann space and of unitary Segal-Bargmann transform with applications
Abdelkader Intissar
TL;DR
This paper explores fundamental properties of the Segal-Bargmann space and its unitary transform, applying these concepts to differential operators in diffusion and reggeon field theory contexts.
Contribution
It introduces elementary properties of the Segal-Bargmann space and analyzes the unitary Segal-Bargmann transform with specific applications to differential operators.
Findings
Properties of Segal-Bargmann space are established.
The unitary Segal-Bargmann transform is characterized.
Applications to diffusion-related differential operators are demonstrated.
Abstract
In this work, we present some elementary properties of Segal-Bargmann space and some properties of unitary Segal Bargmann transform with applications to differential operators arising out of diffusion problem or of reggeon field theory.
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Taxonomy
TopicsNonlinear Waves and Solitons · Holomorphic and Operator Theory · Advanced Mathematical Physics Problems