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arXiv · 1906.00187

The orthogonal complement of the Hilbert space associated to holomorphic Hermite polynomials

Abdelhadi Benahmadi·Allal Ghanmi·Mohammed Souid El Ainin
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Abstract

We study the orthogonal complement of the Hilbert subspace considered by by van Eijndhoven and Meyers in [J. Math. Anal. Appl. 146 (1990), no. 1, 89--98} and associated to holomorphic Hermite polynomials. A polyanalytic orthonormal basis is given and the explicit expressions of the corresponding reproducing kernel functions and Segal--Bargmann integral transforms are provided.

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Abdelhadi Benahmadi, Allal Ghanmi, Mohammed Souid El Ainin. 2019-06-01. The orthogonal complement of the Hilbert space associated to holomorphic Hermite polynomials. https://arxiv.org/abs/1906.00187

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