Nonfree actions of countable groups and their characters |
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| Authors: | A M Vershik |
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| Institution: | 1. St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
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| Abstract: | The paper studies the region of values of the system {c
2, c
3, f(z
1), f′(z
1)},where z
1 is an arbitrary fixed point of the disk |z| < 1; f ∈ T,and the class T consists of all the functions f(z) = z + c
2
z
2 + c
3z3 + ⋯ regular in the disk |z| < 1 that satisfy the condition Im z · Im f(z) > 0 for Im z ≠ 0. The region of values of f′(z
1) in the subclass of functions f ∈ T with prescribed values c
2, c
3, and f(z
1) is determined. Bibliography: 10 titles. |
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| Keywords: | |
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