Projected measures on manifolds and incomplete projection families

Abstract

I wish to express my gratitude to my supervisor Esa Järvenpää, and Maarit Järvenpäa ̈ for the excellent guidance, help and collaboration during my doctoral studies. For the financial support I am indebted to The Grad-uate School in Mathematical Analysis and its Applications and Vilho, Yrjö ja Kalle Väisälän rahasto foundation. I want to thank all the people at the Department of Mathematics and Statistics in the University of Jyväskyla ̈ for providing me the most pleasant working environment imaginable. My special thanks for all the work and non-work related affairs go to Antti Käenmäki, Juho Niemelä, Ville Suomala, Juhani Takkinen and Tapani Tolonen. I also want to thank Tuula Bl̊afield, Eira Henriksson and Hannele Säntti-Ahomäki for all their help. Finally, I thank all my friends outside the university and my family for making my life so enjoyable during the past years.