Topics on Meixner families
M. Bozejko, N. Demni
TL;DR
This paper explores the relationships between various characterizations of classical, free, and quantum Meixner families, highlighting their interconnected structures in probability and operator algebra contexts.
Contribution
It introduces new insights into the connections among different Meixner family characterizations, bridging classical, free, and quantum probability frameworks.
Findings
Unified view of Meixner families across different probabilistic settings
Identification of key interconnections between classical, free, and quantum cases
Enhanced understanding of the structural similarities and differences
Abstract
We shed the light on the inter-connections between different characterizations leading to the classical, free and quantum Meixner families.
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Taxonomy
TopicsRandom Matrices and Applications · Spectral Theory in Mathematical Physics · advanced mathematical theories