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On the boundedness of certain operators of convolution type on Fock spaces

Functional Analysis 2024-07-31 v1

Abstract

We find necessary and sufficient conditions on the convolution kernels φ \varphi so that certain operators on twisted Fock spaces Fλ(\C2n)\mathcal{F}^\lambda(\C^{2n}) are bounded.

Cite

@article{arxiv.2407.20831,
  title  = {On the boundedness of certain operators of convolution type on Fock spaces},
  author = {Sundaram Thangavelu},
  journal= {arXiv preprint arXiv:2407.20831},
  year   = {2024}
}

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15 pages