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Heinz Bauer (1928-2002) was one of the prominent figures in Convex Analysis and Potential Theory in the second half of the 20th century. The Bauer minimum principle and Bauer's work on Silov's boundary and the Dirichlet problem are milestones in convex analysis. Axiomatic potential theory owes him what is known by now as Bauer harmonic spaces.
These Selecta collect more than twenty of Bauer's research papers including his seminal papers in Convex Analysis and Potential Theory. Above his research contributions Bauer is best known for his art of writing survey articles. Five of his surveys on different topics are reprinted in this volume. Among them is the well-known article Approximation and Abstract Boundary, for which he was awarded with the Chauvenet Price by the American Mathematical Association in 1980.
Editors’ Preface · Curriculum vitae · Ph.D. students of Heinz Bauer
S. D. Chatterji: The work of Heinz Bauer in measure and integration theory · D. A. Edwards: The work of Heinz Bauer in convexity theory · I. Netuka: The work of Heinz Bauer in potential theory Research Papers
Acknowledgements · Bibliography