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math.CV2021
Poly-analytic functions AND representation theory
Alexander V Turbiner, Nikolai L Vasilevski
We propose the Lie-algebraic interpretation of poly-analytic functions in $L_2(\C,dμ)$, with the Gaussian measure , based on a flag structure formed by the representation space…
math.CV2016
Toeplitz operators defined by sesquilinear forms: Bergman space case
Grigori Rozenblum, Nikolai Vasilevski
The definition of Toeplitz operators in the Bergman space of square integrable analytic functions in the unit disk in the complex plane is extended in such way that it cov…