English

Adjoints of composition operators with rational symbol

Functional Analysis 2015-05-13 v1

Abstract

Building on techniques developed by Cowen and Gallardo-Guti\'{e}rrez, we find a concrete formula for the adjoint of a composition operator with rational symbol acting on the Hardy space H2H^{2}. We consider some specific examples, comparing our formula with several results that were previously known.

Cite

@article{arxiv.0705.0488,
  title  = {Adjoints of composition operators with rational symbol},
  author = {Christopher Hammond and Jennifer Moorhouse and Marian E. Robbins},
  journal= {arXiv preprint arXiv:0705.0488},
  year   = {2015}
}
R2 v1 2026-06-21T08:24:40.858Z