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We also study their behaviour with respect to the Hardy space, subspaces invariant for the unilateral shift and model spaces.\n<\/jats:p>","DOI":"10.1007\/s13324-020-00364-5","type":"journal-article","created":{"date-parts":[[2020,4,10]],"date-time":"2020-04-10T15:03:43Z","timestamp":1586531023000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Conjugations in $$L^2$$ and their invariants"],"prefix":"10.1007","volume":"10","author":[{"given":"M. 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