Berit Stensønes

Title Professor
Academic Institution Norwegian University of Science and Technology
Academic department Department of Mathematical Sciences
Country Norway
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About fellow

Berit Stensønes is working in complex analysis. More precisely, she is focusing on the higher dimensional theory. One of the main differences is that there are subsets of the whole space which are holomorphically equivalent to the whole space. These are called Fatou Bieberbach domains. She has investigated the boundary of these domains and found that they can be smooth. She is also interested in the boundary behaviour of analytic objects on domains. She has for example found that there can be analytic functions which attain there maximum real value on a set of full Hausdorff dimension. She is working on the basic question whether a point on the boundary in dimension three and higher can take its maximum value in very general so called finite type pseudoconvex domains. This is related to the question of whether one can solve the Cauchy Riemann equation using integral kernels. This is one of the main open questions in higher dimensional complex analysis. She has also shown the existence of proper holomorphic maps from the ball to a polydisc in a higher dimension. This also leads to further open questions which she works on. In addition she is working on improving previous work on understanding plurisubharmonic functions and finite type.

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