# On principal iteration semigroups in the case of multiplier zero

Open Mathematics (2013)

- Volume: 11, Issue: 1, page 177-187
- ISSN: 2391-5455

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topDorota Krassowska, and Marek Zdun. "On principal iteration semigroups in the case of multiplier zero." Open Mathematics 11.1 (2013): 177-187. <http://eudml.org/doc/269039>.

@article{DorotaKrassowska2013,

abstract = {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.},

author = {Dorota Krassowska, Marek Zdun},

journal = {Open Mathematics},

keywords = {Schröder’s functional equation; Böttcher’s equation; Iteration semigroup; Conjugacy; Böttcher’s functional equation; iteration semigroup; conjugacy; normal forms; conjugating functions},

language = {eng},

number = {1},

pages = {177-187},

title = {On principal iteration semigroups in the case of multiplier zero},

url = {http://eudml.org/doc/269039},

volume = {11},

year = {2013},

}

TY - JOUR

AU - Dorota Krassowska

AU - Marek Zdun

TI - On principal iteration semigroups in the case of multiplier zero

JO - Open Mathematics

PY - 2013

VL - 11

IS - 1

SP - 177

EP - 187

AB - 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.

LA - eng

KW - Schröder’s functional equation; Böttcher’s equation; Iteration semigroup; Conjugacy; Böttcher’s functional equation; iteration semigroup; conjugacy; normal forms; conjugating functions

UR - http://eudml.org/doc/269039

ER -

## References

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