Title Menahem Max Schiffer : selected papers. Volume 2 / edited by Peter Duren, Lawrence Zalcman

Published New York : Birkhäuser, 2013

Table of Contents
	Frontispiece					v
	Publications of M. M. Schiffer					ix
	The Fredholm eigen values of plane domains					1
	Fredholm eigen values of multiply-connected domains					41
	Fredholm eigenvalues and conformal mapping					101
	Fredholm eigenvalues and Grunsky matrices					125
	Commentary by Reiner Kuhnau					142
	Sur la representation conforme de l'exterieur d'une courbe fermee convexe / G. Polya					145
	Commentary by Peter Duren					149
	Extremum problems and variational methods in conformal mapping					151
	Commentary by Peter Duren					173
	A new proof of the Bieberbach conjecture for the fourth coefficient / Z. Charzynski					175
	Commentary by Peter Duren					183
	A variational method for functions schlicht in an annulus / P. L. Duren					185
	Commentary by Peter Duren					199
	On the mean-value property of harmonic functions / B. Epstein					201
	Commentary by Lawrence Zalcman					205
	Half-order differentials on Riemann surfaces / N. S. Hawley					207
	Commentary by John Fay					246
	The local maximum theorem for the coefficients of univalent functions / P. R. Garabedian					247
	Commentary by Peter Duren					280
	Some distortion theorems in the theory of conformal mapping					283
	Commentary by Peter Duren					302
	An extremal problem for the Fredholm eigenvalues / G. Schober					303
	A remark on the paper "An extremal problem for the Fredholm eigenvalues" / G. Schober					315
	A variational method for general families of quasiconformal mappings / G. Schober					317
	Commentary by Reiner Kuhnau					343
	Some inequalities for Stekloff eigenvalues / L. E. Payne					345
	Commentary by Bodo Dittmar					362
	Variational methods for Bieberbach---Eilenberg functions and for pairs / J. A. Hummel					365
	Commentary by Dov Aharonov					406
	Bounded univalent functions which cover a fixed disc / B. Pinchuk					409
	Commentary by Bernard Pinchuk					431
	The dielectric Green's function and quasiconformal mapping / G. Schober					433
	Commentary by Brad Osgood					445
	On the second variation for univalent functions / G. Schober					447
	Commentary by Peter Duren					484
	Potato kugel / L. Zalcman					487
	Commentary by Lawrence Zalcman					497
	Support points with maximum radial angle / Y. J. Leung					499
	Commentary by Peter Duren					515
	Univalent functions which map onto regions of given transfinite diameter / P. L. Duren					517
	Commentary by Peter Duren					534
	Robin functions and distortion of capacity under conformal mapping / P. L. Duren					537
	Commentary by Peter Duren					546
	Issai Schur: Some personal reminiscences					549
	Commentary by Lawrence Zalcman					555

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Description 1 online resource Series Contemporary mathematicians Contemporary mathematicians. 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. Ṕolya) Sur la repŕesentation conforme de l'ext́erieur d'une courbe ferḿee convexe -- Commentary by Peter Duren -- Extremum problems and variational methods in conformal mapping -- Commentary by Peter Duren -- (with Z. Charzýnski) A new proof of the Bieberbach conjecture for the fourth Coefficient -- Commentary by Peter Duren -- (with P. L. Duren) A variational method for functions schlicht in an annulus -- Commentary by Peter Duren -- (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 -- Commentary by Peter Duren -- Some distortion theorems in the theory of conformal mapping -- Commentary by Peter Duren -- (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 -- Commentary by Peter Duren -- (with D. Aharonov and L. Zalcman) Potato kugel -- Commentary by Lawrence Zalcman -- (with P. L. Duren and Y. J. Leung) Support points with maximum radial angle -- Commentary by Peter Duren -- (with P. L. Duren) Univalent functions which map onto regions of given transfinite diameter -- Commentary by Peter Duren -- (with P. L. Duren) Robin functions and distortion of capacity under conformal mapping -- Commentary by Peter Duren -- Issai Schur: Some personal reminiscences -- Commentary by Lawrence Zalcman 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 Bibliography Includes bibliographical references Notes Print version record Subject Schiffer, Menahem -- Influence Geometric function theory. MATHEMATICS -- Calculus. MATHEMATICS -- Mathematical Analysis. Geometric function theory Influence (Literary, artistic, etc.) Form Electronic book Author Duren, Peter L., 1935- editor. Zalcman, Lawrence Allen, editor ISBN 9781461479499 1461479495

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