On principal iteration semigroups in the case of multiplier zero

• Autorzy: Dorota Krassowska , Marek Zdun
• Języki publikacji: EN

Abstrakty

EN

We collect and generalize various known definitions of principal iteration semigroups in the case of multiplier zero and establish connections among them. The common characteristic property of each definition is conjugating of an iteration semigroup to different normal forms. The conjugating functions are expressed by suitable formulas and satisfy either Böttcher’s or Schröder’s functional equation.

Słowa kluczowe

EN

Schröder’s functional equation; Böttcher’s equation; Iteration semigroup; Conjugacy

Kategorie tematyczne

• 26A18: Iteration
• 39B12: Iteration theory, iterative and composite equations

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 1
• Strony: 177-187

Daty

wydano

2013-01-01

online

2012-10-24

Twórcy

autor

Dorota Krassowska

• University of Zielona Góra

autor

Marek Zdun

• Pedagogical University of Kraków

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0068-9