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James J. Dudziak
James J. Dudziak, Ph.D.
Associate Professor

Department: Mathematics
Address: W-28 Holmes
Phone: (517) 353-4599


Vitushkins Conjecture for Removable Sets (Universitext) book image
Vitushkins Conjecture for Removable Sets (Universitext)
Vitushkin's conjecture, a special case of Painlevé's problem, states that a compact subset of the complex plane with finite linear Hausdorff measure is removable for bounded analytic functions if and only if it intersects every rectifiable curve in a set of zero arclength measure. Chapters 6-8 of this carefully written text present a major recent accomplishment of modern complex analysis, the affirmative resolution of this conjecture. Four of the five mathematicians whose work solved Vitushkin's conjecture have won the prestigious Salem Prize in analysis.
Pages: 272
Publisher: Springer
Date Published: August 1, 2010
ISBN-13: 978-1441967084