Menahem Max Schiffer: Selected Papers Volume 2

✍ Scribed by Peter Duren, Lawrence Zalcman (auth.), Peter Duren, Lawrence Zalcman (eds.)

• Publisher: Birkhäuser Basel
• Year: 2014
• Tongue: English
• Leaves: 557
• Series: Contemporary Mathematicians
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xiv
[62] The Fredholm eigen values of plane domains....Pages 1-40
[68] Fredholm eigen values of multiply-connected domains....Pages 41-100
[78] Fredholm eigenvalues and conformal mapping....Pages 101-123
[125] Fredholm eigenvalues and Grunsky matrices....Pages 125-144
[69] (with G. Pólya) Sur la représentation conforme de l’extérieur d’une courbe fermée convexe....Pages 145-149
[70] Extremum problems and variational methods in conformal mapping....Pages 151-173
[72] (with Z. Charzyński) A new proof of the Bieberbach conjecture for the fourth coefficient....Pages 175-184
[75] (with P. L. Duren) A variational method for functions schlicht in an annulus....Pages 185-200
[81] (with B. Epstein) On the mean-value property of harmonic functions....Pages 201-205
[87] (with N. S. Hawley) Half-order differentials on Riemann surfaces....Pages 207-246
[91] (with P. R. Garabedian) The local maximum theorem for the coefficients of univalent functions....Pages 247-281
[99] Some distortion theorems in the theory of conformal mapping....Pages 283-302
[103] (with G. Schober) An extremal problem for the Fredholm eigenvalues....Pages 303-313
[106] (with G. Schober) A remark on the paper “An extremal problem for the Fredholm eigenvalues”....Pages 315-316
[117] (with G. Schober) A variational method for general families of quasiconformal mappings....Pages 317-343
[109] (with J. Hersch and L. E. Payne) Some inequalities for Stekloff eigenvalues....Pages 345-363
[116] (with J. A. Hummel) Variational methods for Bieberbach-Eilenberg functions and for pairs....Pages 365-407
[121] (with J. A. Hummel and B. Pinchuk) Bounded univalent functions which cover a fixed disk....Pages 409-431
[122] (with G. Schober) The dielectric Green’s function and quasi conformal mapping....Pages 433-446
[123] (with A. Chang and G. Schober) On the second variation for univalent functions....Pages 447-485
[126] (with D. Aharonov and L. Zalcman) Potato kugel....Pages 487-498
[127] (with P. L. Duren and Y. J. Leung) Support points with maximum radial angle....Pages 499-516
[135] (with P. L. Duren) Univalent functions which map onto regions of given transfinite diameter....Pages 517-535
[137] (with P. L. Duren) Robin functions and distortion of capacity under conformal mapping....Pages 537-547
[138] Issai Schur: Some personal reminiscences....Pages 549-555

✦ Subjects

History of Mathematical Sciences;Calculus of Variations and Optimal Control;Optimization