Menahem Max Schiffer | Academic Influence

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Menahem Max Schiffer

Mathematics

#964

World Rank

#1670

Historical Rank

#420

USA Rank

Measure Theory

#549

World Rank

#765

Historical Rank

#228

USA Rank

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Mathematics

Menahem Max Schiffer's Degrees

PhD Mathematics University of Chicago
Bachelors Mathematics University of Chicago

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Why Is Menahem Max Schiffer Influential?

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According to Wikipedia, Menahem Max Schiffer Biography Schiffer studied physics from 1930 at the University of Bonn and then at the Humboldt University of Berlin with a number of famous physicists and mathematicians including Max von Laue, Erwin Schrödinger, Walter Nernst, Erhard Schmidt, Issai Schur and Ludwig Bieberbach. In Berlin he worked closely with Issai Schur. In 1934 Schiffer had his first mathematical publication. After the National Socialist regime removed Schur and many others from their academic posts, Schiffer, as a Jew, immigrated to British-controlled Palestine. On the basis of his 1934 mathematical publication, Schiffer received from the Hebrew University of Jerusalem his master's degree in 1934. He received there his doctorate in 1938 under Michael Fekete with thesis Conformal representation and univalent functions. In his dissertation he introduced the "Schiffer variation", a variational method for handling geometric problems in complex analysis. In September 1952, he became a professor at Stanford University, as part of a Jewish refugee group of outstanding mathematical analysts, including George Pólya, Charles Loewner, Stefan Bergman, and Gábor Szegő.

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Menahem Max Schiffer's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Introduction to General Relativity (1965) (615)
Functionals of Finite Riemann Surfaces (1954) (310)
Convexity of domain functionals (1952) (154)
Kernel Functions and Elliptic Differential Equations in Mathematical Physics (2005) (151)
Half-order differentials on Riemann surfaces (1966) (138)
A Method of Variation Within the Family of Simple Functions (1938) (130)
Kernel functions and conformal mapping (1951) (119)
How to Write Mathematics (1973) (116)
Hadamard's Formula and Variation of Domain-Functions (1946) (85)
Some inequalities for Stekloff eigenvalues (1974) (80)
Convexity of functionals by transplantation (1953) (78)
Fredholm eigenvalues and Grunsky matrices (1981) (65)
Kerr geometry as complexified Schwarzschild geometry (1973) (63)
A new proof of the Bieberbach conjecture for the fourth coefficient (1960) (63)
The kernel function of an orthonormal system (1946) (60)
The Fredholm eigen values of plane domains. (1957) (53)
Faber polynomials in the theory of univalent functions (1948) (52)
The local maximum theorem for the coefficients of univalent functions (1967) (52)
Axially Symmetric Cavitational Flow (1952) (52)
A COEFFICIENT INEQUALITY FOR SCHLICHT FUNCTIONS (1955) (52)
The span of multiply connected domains (1943) (51)
A proof of the Bieberbach conjecture for the fifth coefficient (1955) (46)
Doubly-connected minimal surfaces (1975) (44)
Identities in the theory of conformal mapping (1949) (42)
Variational Problems in the Theory of Elliptic Partial Differential Equations (1953) (41)
A variational method for functions schlicht in an annulus (1962) (40)
Variation of the Green Function and Theory of the p-Valued Functions (1943) (40)
ON THE MODULUS OF DOUBLY-CONNECTED DOMAINS (1946) (39)
Kernel functions in the theory of partial differential equations of elliptic type (1948) (34)
Robin functions and energy functionals of multiply connected domains. (1991) (34)
A representation of Green’s and Neumann’s functions in the theory of partial differential equations of second order (1947) (33)
Robin functions and distortion of capacity under conformal mapping (1993) (32)
Various types of orthogonalization (1950) (32)
On the Decision Problem for Algebraic Rings (1970) (29)
Analytical Theory of Subsonic and Supersonic Flows (1960) (29)
The span and principal functions in Riemannian spaces (1965) (28)
A variational method for univalent quasiconformal mappings (1966) (27)
Fredholm eigen values of multiply-connected domains (1959) (27)
On coefficient regions of univalent functions (1977) (27)
The theory of the second variation in extremum problems for univalent functions (1962) (27)
On the mean-value property of harmonic functions (1962) (26)
Variation of domain functionals (1954) (23)
Estimates for the transfinite diameter of a continuum (1964) (23)
On Existence Theorems of Potential Theory and Conformal Mapping (1950) (21)
On the second variation for univalent functions (1981) (19)
TRANSFINITE DIAMETER AND ANALYTIC CONTINUATION OF FUNCTIONS OF TWO COMPLEX VARIABLES (1961) (18)
On the coefficient problem for univalent functions (1968) (18)
On the coefficient problem for bounded univalent functions (1969) (17)
On Bergman's Integration Method in Two-Dimensional Compressible Fluid Flow (1948) (16)
The Role of Mathematics in Science (1984) (15)
An extremal problem for the Fredholm eigenvalues (1971) (14)
An Application of Orthonormal Functions in the Theory of Conformal Mapping (1948) (14)
Variational methods for Bieberbach-Eilenberg functions and for pairs (1977) (14)
Coefficient problems and generalized Grunsky inequalities for Schlicht functions with quasiconformal extensions (1976) (14)
Coefficient inequalities for Bieberbach-Eilenberg functions (1969) (14)
On the Coefficients of Simple Functions (1938) (13)
Representation of fundamental solutions for generalized Cauchy-Riemann equations by quasiconformal mappings (1976) (13)
The coefficient regions of schlicht functions (1949) (13)
On bounded univalent functions which are close to identity (1969) (13)
On the scaling of X‐ray photographs (1967) (13)
Univalent functions which map onto regions of given transfinite diameter (1991) (12)
On estimation of electrostatic capacity (1954) (11)
Conformal Mappings onto Nonoverlapping Regions (1988) (11)
On the fourth coefficient of bounded univalent functions (1965) (11)
On Green’s and Neumann’s functions in the theory of partial differential equations (1947) (11)
A GEOMETRIC PROOF OF THE BIEBERBACH CONJECTURE FOR THE FOURTH COEFFICIENT (1960) (10)
A variational method for general families of quasiconformal mappings (1978) (10)
ON THE FOURTH COEFFICIENT OF UNIVALENT FUNCTIONS WITH BOUNDED BOUNDARY ROTATION (1967) (9)
Univalent functions whosen first coefficients are real (1967) (9)
A method of variations for functions with bounded boundary rotation (1966) (9)
Global results in control theory with applications to univalent functions (1976) (9)
Fredholm eigenvalues and conformal mapping of multiply connected domains (1965) (8)
ON SUBSONIC FLOW OF A COMPRESSIBLE FLUID (1953) (7)
Static Universe and Nebular Red Shift. II (1937) (6)
Support Points with Maximum Radial Angle (1983) (6)
Kernel functions and partial differential equations (1951) (5)
Riemann surfaces which are doubles of plane domains (1967) (5)
Further generalizations of the Grunsky inequalities (1970) (5)
On a Double Integral Variational Problem (1954) (5)
Mathematical studies in animal populations (1952) (4)
A remark on the paper “An extremal problem for the fredholm eigenvalues” (1972) (4)
Goluzin inequalities and minimum energy for mappings onto nonoverlapping regions (1990) (4)
VARIATIONAL METHODS IN THE THEORY OF RIEMANN SURFACES (1953) (4)
On the Green’s functions of ordinary differential systems (1952) (3)
Potential-theoretic methods in the theory of functions of two complex variables (1952) (3)
Bounded Functions of Two Complex Variables (1944) (3)
Various Kernels in the Theory of Partial Differential Equations. (1950) (3)
Bounded univalent functions which cover a fixed disc (1979) (3)
Sharpened forms of the Grunsky inequalities (1990) (3)
An application of the calculus of variations for general families of quasiconformal mappings (1979) (2)
Grunsky inequalities for univalent functions with prescribed Hayman index. (1988) (2)
A distortion theorem for quasiconformal mappings (1976) (2)
A new set of coefficient inequalities for univalent functions (1971) (2)
On the subadditivity of the transfinite diameter (1941) (2)
The Role of Mathematics in Science: NEW MATHEMATICAL LIBRARY (1984) (1)
A Majorant Method For Non-Linear Partial Differential Equations. (1951) (1)
THE COEFFICIENT PROBLEM FOR MULTIPLY-CONNECTED DOMAINS (1950) (1)
Some Linear Operators in the Theory of Partial Differential Equations. (1950) (1)
Separation by Diffusion in Fields of Ultrasonic Waves (1947) (1)
Monotonic properties of the Green’s function (1952) (1)
Stefan Bergman (1895--1977) in Memoriam (1981) (1)
3. Relations between Differentials (1955) (0)
6. Integral Operators (1955) (0)
7. Variations of Surfaces and of their Functionals (1955) (0)
4. Bilinear Differentials (1955) (0)
5. Surfaces Imbedded in a Given Surface (1955) (0)
Liapounov's Theorem on the Range of a I ctor Measure and Pontryagin's Maximum Principle (2004) (0)
The Role of Mathematics in Science: Preface (1984) (0)
The Role of Mathematics in Science: The Beginnings of Mechanics (1984) (0)
8. Applications of the Variational Method (1955) (0)
Applied Mathematics: Methods of Mathematical Physics . vol. 2, Partial Differential Equations . R. Courant and D. Hilbert. Interscience, New York, 1962. xxii + 830 pp. $17.50. (1962) (0)
Colloquium on boundary value problems : Amsterdam 20.05.1958 : organized by the Mathematical Centre at Amsterdam under the chairmanship of D. van Dantzig (1958) (0)
Dedicated to the memory of Stefan Bergman (1979) (0)
2. Existence Theorems for Finite Riemann Surfaces (1955) (0)
9. Remarks on Generalization to Higher Dimensional Kähler Manifolds (1955) (0)
A NEW DERIVATION OF THE EQUATIONS OF ALREADY-UNIFIED FIELD THEORY (1963) (0)
The Role of Mathematics in Science: Energy (1984) (0)
In memoriam (1997) (0)
Extremal Problems for a Class of Symmetric Functions (2004) (0)
The Role of Mathematics in Science: The Role of Mathematics in Optics (1984) (0)
The Role of Mathematics in Science: Epilogue (1984) (0)
The Role of Mathematics in Science: What is Time? Einstein's Transformation Problem (1984) (0)
The Role of Mathematics in Science: Relativistic Addition of Velocities (1984) (0)
COEFFICIENT INEQUALITY FOR SCHLIGHT FUNCTIONS (1954) (0)
The Role of Mathematics in Science: Introduction (1984) (0)
On the monotonicity of some functionals in the family of univalent functions (1979) (0)
Complex Numbers and Functions. (1964) (0)
Methods of Mathematical Physics. vol. 2, Partial Differential Equations. R. Courant and D. Hilbert. Interscience, New York, 1962. xxii + 830 pp. $17.50 (1962) (0)
The Role of Mathematics in Science: Mathematics with Matrices—Transformations (1984) (0)
1. Geometrical and Physical Considerations (1955) (0)
The Role of Mathematics in Science: Note to the Reader (1984) (0)
The Role of Mathematics in Science: Growth Functions (1984) (0)
The dielectric Green's function and quasiconformal mapping (1979) (0)

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