Fixed Points of Maps on the Space of Rational Functions

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dc.creatorMosteig, Edward
dc.date2004-12-17
dc.date.accessioned2026-07-07T05:15:24Z
dc.date.available2026-07-07T05:15:24Z
dc.descriptionGiven integers s,t, define a function phi_{s,t} on the space of all formal series expansions by phi_{s,t} (sum a_n x^n) = sum a_{sn+t} x^n. For each function phi_{s,t}, we determine the collection of all rational functions whose Taylor expansions at zero are fixed by phi_{s,t}. This collection can be described as a subspace of rational functions whose basis elements correspond to certain s-cyclotomic cosets associated with the pair (s,t).
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0412355
dc.identifierhttp://arxiv.org/abs/math/0412355
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73619
dc.subjectClassical Analysis and ODEs
dc.subjectDynamical Systems
dc.subject26C15
dc.titleFixed Points of Maps on the Space of Rational Functions
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