A formula representing Magnetic Berezin Transformsas functions of the Laplacian on Cn
Nour Eddine Askour, Ahmed Intissar, Zouhair Mouayn
TL;DR
This paper derives a formula expressing magnetic Berezin transforms related to generalized Bargmann-Fock spaces as functions of the Euclidean Laplacian on complex n-dimensional space.
Contribution
It provides a new explicit formula connecting magnetic Berezin transforms with the Euclidean Laplacian in complex analysis.
Findings
Expressed magnetic Berezin transforms as functions of the Laplacian
Established a formula linking Berezin transforms and Laplacian on Cn
Enhanced understanding of operator representations in Bargmann-Fock spaces
Abstract
We give a formula that express magnetic Berezin transforms associated with generalized Bargmann-Fock spaces as functions of the Euclidean Laplacian on Cn.
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Taxonomy
TopicsHolomorphic and Operator Theory · Geometric Analysis and Curvature Flows · Spectral Theory in Mathematical Physics