Reproducing Kernel Hilbert Spaces of Polyanalytic Functions of Infinite Order
نویسندگان
چکیده
In this paper we introduce reproducing kernel Hilbert spaces of polyanalytic functions infinite order. First study in details the counterpart Fock space and related results framework. case function is given by $$\displaystyle e^{z\overline{w}+\overline{z}w}$$ which can be connected to kernels finite Segal–Bargmann Berezin type transforms are also considered setting. Then, complex-valued with \frac{1}{(1-z\overline{w})(1-\overline{z}w)}$$ \frac{1}{1-2\mathrm{Re}\, z\overline{w}}$$ . The corresponding backward shift operators introduced investigated.
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2022
ISSN: ['0378-620X', '1420-8989']
DOI: https://doi.org/10.1007/s00020-022-02713-4