English

Generalized multipliers for left-invertible operators and applications

Functional Analysis 2025-05-12 v1 Complex Variables

Abstract

We introduce generalized multipliers for left-invertible operators which formal Laurent series Ux(z)=n=1(PETnx)1zn+n=0(PETnx)znU_x(z)=\sum_{n=1}^\infty(P_ET^{n}x) \frac{1}{z^n}+\sum_{n=0}^\infty(P_E{T^{\prime*}}^{n}x)z^n actually represent analytic functions on an annulus or a disc.

Keywords

Cite

@article{arxiv.1809.03882,
  title  = {Generalized multipliers for left-invertible operators and applications},
  author = {Pawel Pietrzycki},
  journal= {arXiv preprint arXiv:1809.03882},
  year   = {2025}
}

Comments

arXiv admin note: text overlap with arXiv:1808.03339

R2 v1 2026-06-23T04:02:22.676Z