Bicomplex Bergman spaces on bounded domains
Functional Analysis
2024-02-21 v2
Abstract
The bicomplex Bergman spaces are studied for any bounded bicomplex domain. Its Bergman kernel is computed in terms of the kernels of the complex projections of the domain. We also introduce two additional reproducing kernel Hilbert spaces and relate its kernels to that of the bicomplex Bergman space.
Cite
@article{arxiv.1811.00150,
title = {Bicomplex Bergman spaces on bounded domains},
author = {Cesar O. Perez-Regalado and Raul Quiroga-Barranco},
journal= {arXiv preprint arXiv:1811.00150},
year = {2024}
}
Comments
Incomplete preliminary work