Konstantin M. Dyakonov

activity

20102014

most citedA characterization of Möbius transformations

9 citations · 11 across the 3 of their papers we have counts for

collaborators

3 papers

math.CV2014★ 9 cited

A characterization of Möbius transformations

Konstantin M. Dyakonov

We prove that the derivative $θ^{'}$ of an inner function $θ$ is outer if and only if $θ$ is a Möbius transformation. An alternative characterization involving a reverse Schwarz--Pick…

math.CV2012★ 1 cited

ABC-type estimates via Garsia-type norms

Konstantin M. Dyakonov

We are concerned with extensions of the Mason--Stothers $ab c$ theorem from polynomials to analytic functions on the unit disk $D$ . The new feature is that the number of zer…

math.CV2010★ 1 cited

Local ABC theorems for analytic functions

Konstantin M. Dyakonov

The classical $ab c$ theorem for polynomials (often called Mason's theorem) deals with nontrivial polynomial solutions to the equation $a + b = c$ . It provides a lower bound for the num…