Click Here to Download: https://ouo.io/gebB6R Fractional Cauchy Transforms By: Rita A. Hibschweiler Publisher: Chapman & Hall Print ISBN: 9781584885603, 1584885602 eText ISBN: 9780429525063, 0429525060 Edition: 1st Copyright year: 2005 Format: EPUB Available from $ 23.18 USD SKU 9780429525063R90 Presenting new results along with research spanning five decades. Fractional Cauchy Transforms provides a full treatment of the topic, from its roots in classical complex analysis to its current state. Self-contained, it includes introductory material and classical results, such as those associated with complex-valued measures on the unit circle, that form the basis of the developments that follow. The authors focus on concrete analytic questions, with functional analysis providing the general framework., After examining basic properties, the authors study integral means and relationships between the fractional Cauchy transforms and the Hardy and Dirichlet spaces. They then study radial and nontangential limits, followed by chapters devoted to multipliers, composition operators, and univalent functions. The final chapter gives an analytic characterization of the family of Cauchy transforms when considered as functions defined in the complement of the unit circle. Additional ISBNs 9780367845803, 0367845806
