Lens Lectures on Aleksandrov-clark Measures

نویسنده

  • WILLIAM T. ROSS
چکیده

In this series of three 90 minute lectures I will give a gentle introduction to the topic of Aleksandrov-Clark measures which turn out to have an uncanny way of appearing in various areas of analysis. In short, for an analytic map φ : D→ D, where D is the open unit disk, there is a family {μα : |α| = 1} of positive finite measures on the unit circle T associated with φ by the formula 1− |φ(z)|2 |α− φ(z)|2 = ∫

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تاریخ انتشار 2013