Peter Duren

Q: What Schools Are Affiliated With Peter Duren

Peter Duren is affiliated with the following schools: University of Michigan, KTH Royal Institute of Technology, Massachusetts Institute of Technology, Harvard University

Peter Duren's AcademicInfluence.com Rankings

Peter Duren

Mathematics

#1000

World Rank

#1723

Historical Rank

#433

USA Rank

Measure Theory

#485

World Rank

#689

Historical Rank

#201

USA Rank

mathematics Degrees

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Mathematics

Why Is Peter Duren Influential?

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According to Wikipedia, Peter Larkin Duren was an American mathematician. He specialized in mathematical analysis and was known for the monographs and textbooks he has written. Academic career Duren received in 1956 his bachelor's degree from Harvard University and in 1960 his PhD from MIT under Gian-Carlo Rota with thesis Spectral theory of a class of non-self-adjoint infinite matrix operators. As a postdoc he was an instructor at Stanford University. At the University of Michigan, he became in 1962 an assistant professor, in 1966 an associate professor, in 1969 a professor, and in 2010 a professor emeritus.

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Peter Duren'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

Theory of H[p] spaces (1970) (2056)
Theory of Hp Spaces (2000) (1590)
Harmonic Mappings in the Plane (2004) (737)
Linear functionals on Hp spaces with 0 < p < 1. (1969) (189)
Extension of a theorem of Carleson (1969) (120)
Singular measures and domains not of Smirnov type (1966) (103)
Contractive zero-divisors in Bergman spaces (1993) (103)
The Schwarzian derivative for harmonic mappings (2003) (90)
THEORY OF BERGMAN SPACES (Graduate Texts in Mathematics 199) By HAAKAN HEDENMALM, BORIS KORENBLUM and KEHE ZHU: 286 pp., £37.50, ISBN 0-387-98791-6 (Springer, New York, 2000). (2002) (82)
THE ARGUMENT PRINCIPLE FOR HARMONIC FUNCTIONS (1996) (80)
A century of mathematics in America (1988) (74)
A Paley–Wiener theorem for Bergman spaces with application to invariant subspaces (2007) (70)
Solutions for the generalized Loewner differential equation in several complex variables (2010) (67)
Curvature Properties of Planar Harmonic Mappings (2004) (64)
Invariant subspaces in Bergman spaces and the biharmonic equation. (1994) (60)
Geometric function theory (1994) (57)
Coefficients of meromorphic schlicht functions (1971) (56)
The pseudohyperbolic metric and Bergman spaces in the ball (2006) (51)
HARMONIC MAPPINGS OF MULTIPLY CONNECTED DOMAINS (1997) (49)
Coefficients of univalent functions (1977) (45)
A variational method for functions schlicht in an annulus (1962) (40)
Zeros of the hypergeometric polynomials F(−n, b; 2b; z) (2000) (38)
Univalence criteria for lifts of harmonic mappings to minimal surfaces (2006) (38)
Robin capacity and extremal length (1993) (37)
Coefficient multipliers of Hp and Bp spaces (1970) (36)
Invitation to Classical Analysis (2012) (35)
OSCILLATION OF SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS (2009) (35)
Robin functions and energy functionals of multiply connected domains. (1991) (34)
Robin functions and distortion of capacity under conformal mapping (1993) (32)
Schwarzian derivative criteria for valence of analytic and harmonic mappings (2006) (31)
A variational method for harmonic mappings onto convex regions (1987) (31)
Linear extremal problems for harmonic mappings of the disk (1989) (31)
Extremal functions in invariant subspaces of Bergman spaces (1996) (30)
Harmonic shears of regular polygons by hypergeometric functions (1999) (29)
Boundary correspondence and dilatation of harmonic mappings (1997) (29)
The theory of the second variation in extremum problems for univalent functions (1962) (27)
Multiplicative Isometries and Isometric Zero-Divisors (2010) (27)
Trajectories of the zeros of hypergeometric polynomials F(−n, b; 2b; z) for b < − 1/2 (2001) (27)
Logarithmic coefficients of univalent functions (1979) (25)
Asymptotic Properties of Zeros of Hypergeometric Polynomials (2001) (25)
Quasiconformal mappings and analysis : a collection of papers honoring F.W. Gehring (1998) (24)
Harmonic Mappings Related to Scherk's Saddle-Tower Minimal Surfaces (2000) (23)
Zeros of ultraspherical polynomials and the Hilbert-Klein formulas (2001) (23)
Distortion in several variables (1986) (23)
Coefficient multipliers ofHpandBpspaces (1970) (23)
Properties of ^{} (0<<1) and its continuing Banach space (1969) (22)
Two-point distortion theorems for harmonic and pluriharmonic mappings (2011) (21)
Schwarzian Derivatives and Uniform Local Univalence (2007) (21)
Estimation of Coefficients of Univalent Functions by a Tauberian Remainder Theorem (1974) (20)
Hyperbolic capacity and its distortion under conformal mapping (1999) (20)
Ellipses, near ellipses, and harmonic Möbius transformations (2005) (18)
Finite unions of interpolation sequences (2002) (18)
Asymptotic zero distribution of hypergeometric polynomials (1999) (18)
Zeros of Hypergeometric Functions (2001) (17)
Distortion in certain conformal mappings of an annulus. (1963) (17)
Extension of a result of Beurling on invariant subspaces (1961) (17)
A decomposition theorem for planar harmonic mappings (1996) (17)
Interpolation problems in function spaces (1972) (16)
Inequalities for logarithmic coefficients of univalent functions and their derivatives (1988) (16)
An Inequality for Complete Elliptic Integrals (1994) (15)
An Arclength Problem for Close-to-Convex Functions (1964) (15)
Restrictions of $H\sp{p}$ functions to the diagonal of the polydisc (1975) (15)
Nonvanishing univalent functions (1980) (15)
The Bieberbach Conjecture: Proceedings of the Symposium on the Occasion of the Proof (1986) (14)
On the multipliers of $H\sp{p}$ spaces (1969) (14)
SCHWARZIAN DERIVATIVES OF CONVEX MAPPINGS (2011) (14)
Polynomials orthogonal over a curve. (1965) (13)
Two-Point Distortion Theorems for Harmonic Mappings (2010) (13)
Random series and bounded mean oscillation. (1985) (13)
Harmonic mappings onto stars (2005) (12)
Elliptic capacity and its distortion under conformal mapping (2003) (12)
Univalent functions which map onto regions of given transfinite diameter (1991) (12)
Schwarzian norms and two-point distortion (2011) (12)
Complex and harmonic analysis (2007) (12)
Linear functionals on Hp spaces with 0 (1969) (12)
Conformal Mappings onto Nonoverlapping Regions (1988) (11)
Mean growth and coefficients of $H^{p}$ functions (1970) (11)
Uniform densities of regular sequences in the unit disk (2000) (11)
On the Bloch-Nevanlinna conjecture (1969) (11)
Golden Years of Moscow Mathematics (2007) (11)
Injectivity Criteria for Holomorphic Curves in C n (2011) (10)
Interpolation in $H^{p}$ spaces (1972) (10)
Harmonic Mappings in the Plane: Preliminaries (2004) (10)
Quasiconformal Mappings and Analysis (2012) (8)
On a class of schlicht functions. (1971) (8)
Coefficient estimates for univalent functions (1962) (8)
Quasiconformal extensions to space of Weierstrass-Enneper lifts (2013) (8)
Smirnov domains (1993) (7)
The Legendre Relation for Elliptic Integrals (1991) (7)
Menahem Max Schiffer : selected papers (2013) (6)
Smootheness of functions generated by Riesz products (1965) (6)
Invariant subspaces of tridiagonal operators (1963) (6)
Support Points with Maximum Radial Angle (1983) (6)
Lattès Maps and Combinatorial Expansion (2011) (6)
Arcs omitted by support points of univalent functions (1981) (5)
Concave conformal mappings and pre-vertices of Schwarz-Christoffel mappings (2012) (5)
Extreme Points of Spaces of Univalent Functions (1978) (5)
On the Marx conjecture for starlike functions (1965) (4)
Generalized support points of the set of univalent functions (1986) (4)
Applications of the Garabedian-Schiffer inequality (1976) (4)
Goluzin inequalities and minimum energy for mappings onto nonoverlapping regions (1990) (4)
Smirnov domains and conjugate functions (1972) (4)
On the spectrum of a Toeplitz operator. (1964) (3)
Truncation of support points for univalent functions (1984) (3)
[40] Variational methods in the theory of conformal mapping (2013) (3)
Sharpened forms of the Grunsky inequalities (1990) (3)
Asymptotic behavior of coefficients of univalent functions (1976) (3)
Robert Jentzsch, mathematician and poet (2008) (3)
Two-slit mappings and the Marx conjecture. (1972) (3)
Successive Coefficients of Univalent Functions (1979) (3)
Inequalities: Fifty Years on from Hardy, Littlewood and Pólya (W. Norrie Everitt, ed.) (1993) (2)
Grunsky inequalities for univalent functions with prescribed Hayman index. (1988) (2)
Two Inequalities Involving Elliptic Functions (1963) (2)
The Mathematics of F.W. Gehring (1998) (2)
On a theorem of Haimo regarding concave mappings (2011) (2)
Harmonic Univalent Functions (2004) (2)
Injectivity Criteria for Holomorphic Curves in $\mathbb{C}^n$ (2009) (2)
Nonvanishing univalent functions III (1985) (2)
AHLFORS-WEILL EXTENSIONS FOR A CLASS OF MINIMAL SURFACES (2010) (2)
SCHWARZIAN DERIVATIVES OF ANALYTIC AND HARMONIC FUNCTIONS (2006) (2)
[78] Fredholm eigenvalues and conformal mapping (2014) (1)
Regions of variability for univalent functions (1986) (1)
Menahem Max Schiffer: Selected Papers Volume 2 (2014) (1)
Lawrence Zalcman: A Mathematical Biosketch (2014) (1)
Corrections to ``Distortion in certain conformal mappings of an annulus''. (1964) (1)
PROPERTIES OF H " ( 0 < p < 1 ) AND ITS CONTAINING BANACH SPACEC ) (2010) (1)
[70] Extremum problems and variational methods in conformal mapping (2014) (1)
Harmonic Mappings in the Plane: Minimal Surfaces (2004) (1)
Menahem Max Schiffer: Selected Papers Volume 1 (2013) (1)
Sampling and interpolation (2004) (1)
[54] Variation of domain functionals (2013) (0)
Ph.D. students supervised by Peter Duren (all at the University of Michigan) (2007) (0)
[127] (with P. L. Duren and Y. J. Leung) Support points with maximum radial angle (2014) (0)
Linear space properties (2004) (0)
[137] (with P. L. Duren) Robin functions and distortion of capacity under conformal mapping (2014) (0)
Harmonic Mappings onto Convex Regions (2004) (0)
Proceedings of the Symposium on Complex Analysis Canterbury 1973: Estimation of coefficients of univalent functions by Tauberian remainder theorems (1974) (0)
Harmonic Mappings in the Plane: Curvature of Minimal Surfaces (2004) (0)
F.W. Gehring: A Biographical Sketch (1998) (0)
Structure of invariant subspaces (2004) (0)
Properties of $H\sp{p}$ $(0 (1969) (0)
ON THE THEORY OF WIENER-HOPF OPERATORS (1961) (0)
FOR HARMONIC MAPPINGS OF THE DISK (2010) (0)
Harmonic Mappings in the Plane: Mapping Problems (2004) (0)
F. W. Gehring: A Mathematical Biosketch (2014) (0)
In remembrance of allen shields (1990) (0)
Harmonic Mappings in the Plane: Additional Topics (2004) (0)
Quasiconformal extensions to space of Weierstrass-Enneper lifts (2018) (0)
[17] Hadamard’s formula and variation of domain-functions (2013) (0)
[59] (with P. R. Garabedian) A coefficient inequality for schlicht functions (2013) (0)
[123] (with A. Chang and G. Schober) On the second variation for univalent functions (2014) (0)
Proofs of sampling and interpolation theorems (2004) (0)
F. W. Gehring: A Mathematical Biosketch (2014) (0)
Constrained Approximation via Functional Analysis (2011) (0)
[5] A method of variation within the family of simple functions (2013) (0)
[25] Faber polynomials in the theory of univalent functions (2013) (0)
[62] The Fredholm eigen values of plane domains (2014) (0)
Working with Max Schiffer (2013) (0)
[6] On the coefficients of simple functions (2013) (0)
Harmonic Mappings in the Plane: General Properties of Harmonic Mappings (2004) (0)
[68] Fredholm eigen values of multiply-connected domains (2014) (0)
Ph.D. Students of F.W. Gehring (1998) (0)
Contractive zero-divisors (2004) (0)
Harmonic Mappings in the Plane: Appendix: Extremal Length (2004) (0)
[75] (with P. L. Duren) A variational method for functions schlicht in an annulus (2014) (0)
Schwarzian Derivatives and Mappings onto Jordan Domains (1971) (0)
Publications: Peter Duren (2007) (0)
Reviews (2008) (0)
source of counterexamples in various branches of analysis. We present here some relations between the structure of a Riesz product and the smoothness of the nondecreasing function it generates. (2016) (0)
[13] Variation of the Green function and theory of the p-valued functions (2013) (0)
Professor Peter Duren (2007) (0)
[99] Some distortion theorems in the theory of conformal mapping (2014) (0)
A GENERALIZATION OF NEHARI’S p - CRITERION FOR UNIVALENCE (0)
Publications of F.W. Gehring (1998) (0)
The Bergman kernel function (2004) (0)
Harmonic Mappings in the Plane: Harmonic Self-Mappings of the Disk (2004) (0)
[28] (with A. C. Schaeffer and D. C. Spencer) The coefficient regions of schlicht functions (2013) (0)
ON THE MULTIPLIERS OF 77* SPACES (2010) (0)
Lawrence Zalcman: A Mathematical Biosketch (2014) (0)
[72] (with Z. Charzyński) A new proof of the Bieberbach conjecture for the fourth coefficient (2014) (0)
[135] (with P. L. Duren) Univalent functions which map onto regions of given transfinite diameter (2014) (0)
Generalized support points of the set of univalent functions (1986) (0)
Princeton Lectures in Analysis by Elias M. Stein; Rami Shakarchi (2008) (0)
[91] (with P. R. Garabedian) The local maximum theorem for the coefficients of univalent functions (2014) (0)
[106] (with G. Schober) A remark on the paper “An extremal problem for the Fredholm eigenvalues” (2014) (0)
[103] (with G. Schober) An extremal problem for the Fredholm eigenvalues (2014) (0)
ALGEBRAICITY IN THE DIRICHLET PROBLEM IN THE PLANE WITH RATIONAL DATA (2006) (0)

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What Schools Are Affiliated With Peter Duren?

Peter Duren is affiliated with the following schools: