Menahem Max Schiffer: Selected Papers Volume 2 / edited by Peter Duren, Lawrence Zalcman.

Format:

Book

Contributor:

Duren, Peter., Editor.

Zalcman, Lawrence., Editor.

Series:

Contemporary Mathematicians

Language:

English

Subjects (All):

Mathematics.

History.

Calculus of variations.

History of Mathematical Sciences.

Calculus of Variations and Optimal Control; Optimization.

Local Subjects:

History of Mathematical Sciences.

Calculus of Variations and Optimal Control; Optimization.

Physical Description:

1 online resource (557 p.)

Edition:

1st ed. 2014.

Place of Publication:

New York, NY : Springer New York : Imprint: Birkhäuser, 2014.

Language Note:

English

Summary:

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. .

Contents:

Part 4: Reprints

The Fredholm eigen values of plane domains

Fredholm eigen values of multiply-connected domains

Fredholm eigenvalues and conformal mapping

Fredholm eigenvalues and Grunsky matrices

Commentary by Reiner K¨uhnau

(with G. P´olya) Sur la repr´esentation conforme de l’ext´erieur d’une courbe ferm´ee convexe

Commentary by Peter Duren

Extremum problems and variational methods in conformal mapping

(with Z. Charzy´nski) A new proof of the Bieberbach conjecture for the fourth Coefficient

(with P. L. Duren) A variational method for functions schlicht in an annulus

(with B. Epstein) On the mean-value property of harmonic functions

Commentary by Lawrence Zalcman

(with N. S. Hawley) Half-order differentials on Riemann surfaces

Commentary by John Fay

(with P. R. Garabedian) The local maximum theorem for the coefficients of univalent functions

Some distortion theorems in the theory of conformal mapping

(with G. Schober) An extremal problem for the Fredholm eigenvalues

(with G. Schober) A remark on the paper “An extremal problem for the Fredholm eigenvalues”

(with G. Schober) A variational method for general families of quasiconformal mappings

Commentary by Reiner Kühnau

(with J. Hersch and L. E. Payne) Some inequalities for Stekloff eigenvalues

Commentary by Bodo Dittmar

(with J. A. Hummel) Variational methods for Bieberbach-Eilenberg functions and for pairs

Commentary by Dov Aharonov

(with J. A. Hummel and B. Pinchuk) Bounded univalent functions which cover a fixed disc

Commentary by Bernard Pinchuk

(with G. Schober) The dielectric Green’s function and quasiconformal mapping

Commentary by Brad Osgood

(with A. Chang and G. Schober) On the second variation for univalent functions

(with D. Aharonov and L. Zalcman) Potato kugel

(with P. L. Duren and Y. J. Leung) Support points with maximum radial angle

(with P. L. Duren) Univalent functions which map onto regions of given transfinite diameter

(with P. L. Duren) Robin functions and distortion of capacity under conformal mapping

Issai Schur: Some personal reminiscences

Commentary by Lawrence Zalcman.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-4614-7949-5