| Theory of Symmetrization: from Steiner to Modern Developments Alex Solynin Mathematics and Statistics, Texas Tech University |
I became acquanted with symmetrization in the late 70's, when my thesis adviser, Prof. Igor P. Mityuk, suggested several research problems in Geometric Function Theory. One of those was the Pólya-Szegö problem on continuous Steiner symmetrization, which construction was suggested in one of my papers. I also used some other symmetrization methods and in this talk, will discuss symmetrization-type transformations which I used in my work on problems suggested by Prof. Mityuk and other prominent mathematicians.
At the end of my talk I present some open questions on transformations of symmetrization type.