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Menahem Max Schiffer: Selected Papers Volume 2

  • Book
  • © 2014

Overview

Editors:
  1. Peter Duren

    1. Department of Mathematics, University of Michigan, Ann Arbor, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Lawrence Zalcman

    1. Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Presents a major portion of the life work of M.M. Schiffer
  • Serves as an excellent source for researchers and students in the calculus of variations looking for original articles
  • Contains commentary and annotation to make the work more accessible

Part of the book series: Contemporary Mathematicians (CM)

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Table of contents (25 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. [62] The Fredholm eigen values of plane domains

    • Peter Duren, Lawrence Zalcman
    Pages 1-40

  3. [68] Fredholm eigen values of multiply-connected domains

    • Peter Duren, Lawrence Zalcman
    Pages 41-100

  4. [78] Fredholm eigenvalues and conformal mapping

    • Peter Duren, Lawrence Zalcman
    Pages 101-123

  5. [125] Fredholm eigenvalues and Grunsky matrices

    • Reiner Kühnau
    Pages 125-144

  6. [69] (with G. Pólya) Sur la représentation conforme de l’extérieur d’une courbe fermée convexe

    • Peter Duren
    Pages 145-149

  7. [70] Extremum problems and variational methods in conformal mapping

    • Peter Duren
    Pages 151-173

  8. [72] (with Z. Charzyński) A new proof of the Bieberbach conjecture for the fourth coefficient

    • Peter Duren
    Pages 175-184

  9. [75] (with P. L. Duren) A variational method for functions schlicht in an annulus

    • Peter Duren
    Pages 185-200

  10. [81] (with B. Epstein) On the mean-value property of harmonic functions

    • Lawrence Zalcman
    Pages 201-205

  11. [87] (with N. S. Hawley) Half-order differentials on Riemann surfaces

    • John Fay
    Pages 207-246

  12. [91] (with P. R. Garabedian) The local maximum theorem for the coefficients of univalent functions

    • Peter Duren
    Pages 247-281

  13. [99] Some distortion theorems in the theory of conformal mapping

    • Peter Duren
    Pages 283-302

  14. [103] (with G. Schober) An extremal problem for the Fredholm eigenvalues

    • Peter Duren, Lawrence Zalcman
    Pages 303-313

  15. [106] (with G. Schober) A remark on the paper “An extremal problem for the Fredholm eigenvalues”

    • Peter Duren, Lawrence Zalcman
    Pages 315-316

  16. [117] (with G. Schober) A variational method for general families of quasiconformal mappings

    • Reiner Kühnau
    Pages 317-343

  17. [109] (with J. Hersch and L. E. Payne) Some inequalities for Stekloff eigenvalues

    • Bodo Dittmar
    Pages 345-363

  18. [116] (with J. A. Hummel) Variational methods for Bieberbach-Eilenberg functions and for pairs

    • Dov Aharonov
    Pages 365-407

  19. [121] (with J. A. Hummel and B. Pinchuk) Bounded univalent functions which cover a fixed disk

    • Bernard Pinchuk
    Pages 409-431

  20. [122] (with G. Schober) The dielectric Green’s function and quasi conformal mapping

    • Brad Osgood
    Pages 433-446
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Keywords

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.

 

 

Editors and Affiliations

  • Department of Mathematics, University of Michigan, Ann Arbor, USA

    Peter Duren

  • Department of Mathematics, Bar-Ilan University, Ramat-Gan, Israel

    Lawrence Zalcman

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