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2014 | Book

Menahem Max Schiffer: Selected Papers Volume 2

Editors: Peter Duren, Lawrence Zalcman

Publisher: Springer New York

Book Series : Contemporary Mathematicians

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About this book

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

Frontmatter
[62] The Fredholm eigen values of plane domains
Peter Duren, Lawrence Zalcman
[68] Fredholm eigen values of multiply-connected domains
Peter Duren, Lawrence Zalcman
[78] Fredholm eigenvalues and conformal mapping
Peter Duren, Lawrence Zalcman
[125] Fredholm eigenvalues and Grunsky matrices
Reiner Kühnau
[69] (with G. Pólya) Sur la représentation conforme de l’extérieur d’une courbe fermée convexe
Peter Duren
[70] Extremum problems and variational methods in conformal mapping
Peter Duren
[72] (with Z. Charzyński) A new proof of the Bieberbach conjecture for the fourth coefficient
Peter Duren
[75] (with P. L. Duren) A variational method for functions schlicht in an annulus
Peter Duren
[81] (with B. Epstein) On the mean-value property of harmonic functions
Lawrence Zalcman
[87] (with N. S. Hawley) Half-order differentials on Riemann surfaces
John Fay
[91] (with P. R. Garabedian) The local maximum theorem for the coefficients of univalent functions
Peter Duren
[99] Some distortion theorems in the theory of conformal mapping
Peter Duren
[103] (with G. Schober) An extremal problem for the Fredholm eigenvalues
Peter Duren, Lawrence Zalcman
[106] (with G. Schober) A remark on the paper “An extremal problem for the Fredholm eigenvalues”
Peter Duren, Lawrence Zalcman
[117] (with G. Schober) A variational method for general families of quasiconformal mappings
Reiner Kühnau
[109] (with J. Hersch and L. E. Payne) Some inequalities for Stekloff eigenvalues
Bodo Dittmar
[116] (with J. A. Hummel) Variational methods for Bieberbach-Eilenberg functions and for pairs
Dov Aharonov
[121] (with J. A. Hummel and B. Pinchuk) Bounded univalent functions which cover a fixed disk
Bernard Pinchuk
[122] (with G. Schober) The dielectric Green’s function and quasi conformal mapping
Brad Osgood
[123] (with A. Chang and G. Schober) On the second variation for univalent functions
Peter Duren
[126] (with D. Aharonov and L. Zalcman) Potato kugel
Lawrence Zalcman
[127] (with P. L. Duren and Y. J. Leung) Support points with maximum radial angle
Peter Duren
[135] (with P. L. Duren) Univalent functions which map onto regions of given transfinite diameter
Peter Duren
[137] (with P. L. Duren) Robin functions and distortion of capacity under conformal mapping
Peter Duren
[138] Issai Schur: Some personal reminiscences
Lawrence Zalcman
Metadata
Title
Menahem Max Schiffer: Selected Papers Volume 2
Editors
Peter Duren
Lawrence Zalcman
Copyright Year
2014
Publisher
Springer New York
Electronic ISBN
978-1-4614-7949-9
Print ISBN
978-1-4614-7948-2
DOI
https://doi.org/10.1007/978-1-4614-7949-9

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