Julia set as a Martin boundary [Elektronische Ressource] / vorgelegt von Md. Shariful Islam

Julia Set As A Martin BoundaryDissertationzur Erlangung des Doktorgrades derMathematisch-Naturwissenschaftlichen Fakult¨ aten derGeorg-August-Universit¨ at zu G¨ ottingenVorgelegt vonMd. Shariful IslamausMunshigonj, BangladeschG¨ ottingen 2010D7Referent: Prof. Dr. Laurent BartholdiKorreferent: Prof. Dr. Preda MihailescuTag der mundlic¨ hen Prufung:¨ 5. Juli 2010AcknowledgmentIt is my great pleasure to express my indebtedness and deep sense of gratitude toProf. Dr. Laurent Bartholdi for supervising my PhD work. I am also very gratefulto Prof. Dr. Manfred Denker for his assistance and encouragement particularly withchapter 1-3.I would like to thank Dr. Manuel Stadlbauer, Dr. Sachar Kablutschko, TaniaGarfias Macedo and Achim Wuebker for several stimulating discussion. I acknowl-edge the financial support of Gottlieb Daimler and Karl Benz Foundation with deepappreciation which made this project possible. I am also very much thankful andindebted to all the members of my family who inspired me every possible way thoughwe are far apart by time and distance. My very special thanks go to Prof. Dr. HansStrasburger for his encouragement and proofreading of my thesis. I am also indebtedto Silke Rossmann for her inspiration and help as I went through the very ups anddowns of life.I would like to thank both the secretaries, Ms. Carmen Barann and Ms.