Menahem Max Schiffer: Selected Papers Volume 1

M. M. Schiffer, the dominant figure in geometric function theory in the second half of the twentieth century, was a mathematician of exceptional breadth, whose work ranged over such areas as univalent functions, conformal mapping, Riemann surfaces, partial differential equations, potential theory, fluid dynamics, and the theory of relativity. He is best remembered for the powerful variational methods he developed and applied to extremal problems in a wide variety of scientific fields

Spanning seven decades, the papers collected in these two volumes represent some of Schiffer's most enduring innovations. Expert commentaries provide valuable background and survey subsequent developments. Also included are a complete bibliography and several appreciations of Schiffer's influence by collaborators and other admirers.

Zusammenfassung

Menahem Max Schiffer, a mathematician of many interests, produced a body of work including topics on geometric function theory, Riemann surfaces, and partial differential equations, with a focus on applications and mathematical physics. Perhaps his best known work is that in the calculus of variations, especially extremal problem,s which find application in many scientific areas.

This two volume set presents over 50 of the most groundbreaking contributions of this beloved mathematician. All of the reprints of Schiffer's works herein have extensive annotation and invited commentaries, giving new clarity and insight into the impact and legacy of Schiffer's works. A complete bibliography and brief biography make this a rounded and invaluable reference.

Inhalt

Part 1. Publications of M. M. Schiffer.- Doctoral Students of M. M. Schiffer.- Chronology of M. M. Schiffer.- Part 2. Personal Reminiscences.- Paul R. Garabedian, Recollections of Menahem Max Schiffer.- Robert Finn, Memories of Menahem Schiffer.- Peter Duren, Working with Max Schiffer.- Lawrence Zalcman, Memories of Max Schiffer.- Dennis Hejhal, Some Reminiscences of My Thesis Advisor, Max Schiffer.- Dov Aharonov, Max Schiffer at the Technion.- Steven R. Bell, M. M. Schiffer, Explorer.- Part 3. Selected Papers.- Ein neuer Beweis des Endlichkeitssatzes f¨ur Orthogonalinvarianten.- Commentary by Lawrence Zalcman.- Sur un principe nouveau pour l'´evaluation des fonctions holomorphes.- Commentary by Peter Duren.- Sur un probleme d'extr´emum de la repr´esentation conforme.- A method of variation within the family of simple functions.- On the coefficients of simple functions.- Sur un th´eoreme de la repr´esentation conforme.- Commentary by Peter Duren.- Sur la variation de la fonction de Green de domaines plans quelconques.- Sur la variation du diam`etre transfini.- Variation of the Green function and theory of the p-valued functions.- Commentary by Peter Duren.- The span of multiply connected domains.- Commentary by Brad Osgood.- Sur l'´equation diff´erentielle de M. L¨owner.- Commentary by Peter Duren.- Hadamard's formula and variation of domain-functions.- Commentary by Peter Duren.- The kernel function of an orthonormal system.- Commentary by Dmitry Khavinson.- (with S. Bergman) A representation of Green's and Neumann's functions in the theory of partial differential equations of second order.- Commentary by Dmitry Khavinson.- (with S. Bergman) Kernelfunctions in the theory of partial differential equations of elliptic type.- Commentary by Dmitry Khavinson.- Faber polynomials in the theory of univalent functions.- Commentary by Peter Duren.- (with P. R. Garabedian) Identities in the theory of conformal mapping.- Commentary by Brad Osgood.- (with A. C. Schaeffer and D. C. Spencer) The coefficient regions of schlicht functions.- Commentary by Peter Duren.- (with P. R. Garabedian) On existence theorems of potential theory and conformal mapping.- Commentary by Brad Osgood.- (with S. Bergman) Kernel functions and conformal mapping.- Commentary by Dmitry Khavinson.- Variational methods in the theory of conformal mapping.- Commentary by Peter Duren.- [44] (with P. R. Garabedian and H. Lewy) Axially symmetric cavitational flow.- Commentary by Louis Nirenberg.- Variation of domain functional.- Commentary by Peter Duren.- (with P. R. Garabedian) A coefficient inequality for schlicht functions.- Commentary by Peter Duren.