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math-ph2026
Generalized Segal-Bargmann transform for Poisson distribution revisited
Chadaphorn Kodsueb, Eugene Lytvynov
For and , we consider the following probability distribution on : $Ï_{α,Ï} = \exp \big(- \fracÏ{α^2}\big) \sum_{n=0}^{\infty} \frac{1}{n!} \big(\f…
math-ph2025
Segal-Bargmann transforms and generalized Weyl algebras associated with the Meixner class of orthogonal polynomials
Chadaphorn Kodsueb, Eugene Lytvynov
Meixner (1934) proved that there exist exactly five classes of orthogonal Sheffer sequences: Hermite polynomials which are orthogonal with respect to Gaussian distribution, Charlie…
math-ph2024
Finite difference calculus in the continuum
Dmitri Finkelshtein, Yuri Kondratiev, Eugene Lytvynov +1
The paper describes known and new results about finite difference calculus on configuration spaces. We describe finite difference geometry on configuration spaces, connect finite d…