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TW 249
B. Fritzsche, B. Kirstein, and K. Müller
An analysis of the block structure of jqq-inner functions
Abstract
The aim of this paper is to show some facts about the block structure of jqq-inner functions. Hereby, a unique parametrization for these functions is developed. A jqq-inner function can be parametrized via a pair of left connected Hardy functions and a so-called singular Carathéodory function. This result leads immediately to the question of construction of a jqq-inner function with certain terms which are satisfied by the given parametrization. A complete answer of this problem is given. Moreover, there is a characterization for the case, that a given pair of pseudocontinuable Carathéodory functions with finite entropy is just the pair of the left and the right Carathéodory function generated by a certain jqq-inner function.
report.pdf / mailto: K. Müller