Maurice Heins

Q: What Schools Are Affiliated With Maurice Heins

Maurice Heins is affiliated with the following schools: Harvard University, Brown University, University of California, Berkeley, Université Paris Cité, University of Illinois Urbana-Champaign

Maurice Heins's AcademicInfluence.com Rankings

Maurice Heins

Mathematics

#6016

World Rank

#8400

Historical Rank

#1880

USA Rank

Measure Theory

#2189

World Rank

#2634

Historical Rank

#626

USA Rank

mathematics Degrees

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Mathematics

Why Is Maurice Heins Influential?

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According to Wikipedia, Maurice Haskell Heins was an American mathematician, specializing in complex analysis and harmonic analysis. Heins received his bachelor's degree in 1937, his master's degree in 1939, and his Ph.D. in 1940, under Joseph L. Walsh, from Harvard University with thesis Extremal Problems for Functions Analytic and Single-Valued in a Doubly-Connected Region. He then worked on topological methods from 1940 to 1942 as Marston Morse's assistant at the Institute for Advanced Study in Princeton. Heins was from 1942 to 1944 an assistant professor at the Illinois Institute of Technology and in 1944–1945 an applied mathematician at the Chief Ordnance Office of the U.S. Army. In 1945 he became an assistant professor at Brown University, where he eventually became a full professor. He was a full professor at the University of Illinois at Urbana-Champaign from 1958 to 1974. From 1974 to 1986 he was a distinguished professor at the University of Maryland. He was the supervisor for 19 Ph.D. theses. His doctoral students include Bernard Epstein and Jang-Mei Wu.

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Maurice Heins'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

On a Class of Conformal Metrics (1961) (163)
Hardy Classes on Riemann Surfaces (1969) (77)
On the Lindelof principle (1955) (68)
Entire Functions with Bounded Minimum Modulus; Subharmonic Function Analogues (1948) (47)
RIEMANN SURFACES OF INFINITE GENUS (1952) (45)
A universal Blaschke product (1954) (41)
On the Iteration of Functions Which are Analytic and Single-Valued in a Given Multiply-Connected Region (1941) (35)
On the number of $1 - 1$ directly conformal maps which a multiply-connected plane region of finite connectivity $p\left( { > 2} \right)$ admits onto itself (1946) (34)
ASYMPTOTIC SPOTS OF ENTIRE AND MEROMORPHIC FUNCTIONS. (1956) (32)
A generalization of the Aumann-Carathéodory “Starrheitssatz” (1941) (28)
On a notion of convexity connected with a method of Carleman (1959) (24)
On the Phragmén-Lindelöf principle (1946) (21)
Asymptotic Spots of Entire and Meromorphic Functions (1957) (20)
Some characterizations of finite Blaschke products of positive degree (1986) (20)
The minimum modulus of a bounded analytic function (1947) (19)
A LEMMA ON POSITIVE HARMONIC FUNCTIONS (1950) (18)
Extremal Problems for Functions Analytic and Single-Valued in a Doubly-Connected Region (1940) (16)
ON THE NUMBER OF 1-1 DIRECTLY CONFORMAL MAPS WHICH A MULTIPLY-CONNECTED PLANE REGION OF FINITE CONNECTIVITY p (>2) ADMITS ONTO ITSELF (2007) (15)
A Theorem of Wolff-Denjoy Type (1988) (14)
Semigroups of Holomorphic Maps of a Riemann Surface into itself which are Homomorphs of the Set of Positive Reals Considered Additively (1981) (14)
Fundamental polygons of fuchsian and fuchsoid groups (1964) (13)
Algebraic structure and conformal mapping (1958) (13)
Topological Methods in the Theory of Functions of a Single Complex Variable I. Deformation Types of Locally Simple Plane Curves (1945) (12)
On the Pseudo-Periods of the Weierstrass Zeta Functions II (1967) (11)
On a problem of Heinz Hopf : a theorem concerning the existence of deformable conformal maps : asymptotic spots of entire and meromorphic functions (1957) (11)
Deformation classes of meromorphic functions and their extensions to interior transformations (1947) (10)
A residue theorem for finite Blaschke products (1951) (9)
On the Denjoy-Carleman-Ahlfors Theorem (1948) (9)
A note on a theorem of Radó concerning the $\left( {1,\,m} \right)$ conformal maps of a multiply-connected region into itself (1941) (9)
The Problem of Milloux for Functions Analytic Throughout the Interior of the Unit Circle (1945) (9)
Symmetric Riemann Surfaces and Boundary Problems (1965) (8)
The Conformal Mapping of Simply Connected Riemann Surfaces II (1949) (8)
On the principle of harmonic measure (1959) (8)
PROBLEM CONCERNING THE CONTINUATION OP RIEMANN SURFACES (1953) (6)
On the Pseudoperiods of the Weierstrass Zeta Functions (1966) (6)
On the Continuation of a Riemann Surface (1942) (6)
On a problem of Walsh concerning the Hadamard three circles theorem (1944) (6)
The Conformal Mapping of Riemann Surfaces (1960) (4)
On a Theorem of Study Concerning Conformal Maps with Convex Images II. (1973) (4)
Extreme normalized analytic functions with positive real part (1985) (4)
Interior mapping of an orientable surface into (1951) (4)
On the Finite Angular Derivatives of an Analytic Function Mapping the Open Unit Disk into Itself (1977) (4)
Meromorphic functions with assigned asymptotic values (1955) (3)
Studies in the Conformal Mapping of Riemann Surfaces: I. (1953) (3)
Nonpersistence of the Grenzkreis phenomenon for Pick-Nevanlinna interpolation on annuli (1975) (3)
Topological Methods in the Theory of Functions of a Single Complex Variable: I. Deformation Types of Locally Simple Plane Curves. (1945) (3)
A note concerning the lemma of Julia-Wolff-Carathéodory (1989) (3)
Topological Methods in the Theory of Functions of a Single Complex Variable: III. Casual Isomorphisms in the Theory of Pseudo-Harmonic Functions (1946) (3)
The boundary values of meromorphic functions having bounded nevanlinna characteristic (1967) (3)
On WSN functions and a theorem of R. Nevanlinna concerning bounded analytic functions (1975) (3)
Some remarks on unicity and continuity theorems for ordinary differential equations. (1963) (2)
On the Theorem of Szegö-Solomentsev. (1967) (2)
STUDIES IN THE CONFORMAL MAPPING OF RIEMANN SURFACES. II. (1953) (2)
A Realization Problem in the Theory of Analytic curves (1981) (1)
A note on the Löwner differential equations (1971) (1)
On an example of donald marshall concerning automorphic pick—nevanlinna interpolation problems (1986) (1)
Remarks on the Elliptic Case of the Mapping Theorem for Simply-Connected Riemann Surfaces (1955) (1)
Vector-valued functions (1969) (1)
Title A topological characterization of pseudo-harmonic functions (1)
Book Review: Cours d'analyse mathmatique (1947) (1)
Extreme Pick-Nevanlinna interpolating functions (1985) (1)
Theory of Functions of a Complex Variable. vol. I.C. Carathéodory. Trans. by F. Steinhardt. ChelseaPubl., New York, 1954. xii + 301 pp. Illus. $4.95 (1954) (1)
Book Review: Dictionary of conformal representations (1955) (1)
Some constructive problems concerning analytische gebilde (1958) (1)
Some remarks concerning nonnegative harmonic functions (1972) (1)
MATHEMA TICS: MORSE AND HEINS TOPOLOGICAL METHODS IN THE T'HEORY OF FUNCTIONS OF A SINGLE COMPLEX VARIABLE. I. DEFORMATION TYPES OF LOCALLY SIMPLE PLANE CURVES* (2005) (0)
A CLASS OF CONFORMAL METRICS BY MAURICE HEINS (2007) (0)
A Theorem Concerning the Existence of Deformable Conformal Maps (1958) (0)
Review: S. Saks and A. Zygmund, Analytic functions (1954) (0)
A Minimum Theorem Concerning Holomorphic Maps of Riemann Surfaces (1977) (0)
Maximal Properties of Hardy Classes (1966) (0)
A classification problem for Riemann surfaces (1969) (0)
THE OCTOBER MEETING IN NEW YORK The four hundred fiftieth meeting of the American Mathematical (2007) (0)
MATHEMA TICS: MORSE AND HEINS TOPOLOGICAL METHODS IN THE THEORY OF FUNCTIONS OF A COMPLEX VARIABLE. H1. BOUNDARY VALUES AND INTEGRAL CHARACTERISTICS OF INTERIOR TRANSFORMA- TIONS AND PSEUDO-HARMONIC FUNCTIONS* (2005) (0)
Theory of Functions of a Complex Variable . vol. I. C. Carathéodory. Trans. by F. Steinhardt. Chelsea Publ., New York, 1954. xii + 301 pp. Illus. $4.95 (1954) (0)
ALGEBRAIC STRUCTURE AND CONFORMAL MAPPING 0) (2010) (0)
Some characterizations of finite Blaschke products of positive degree (1993) (0)
NOTE ON CLASSES OF FUNCTIONS DEFINED BY INTEGRATED LIPSCHITZ CONDITIONS (2007) (0)
Christoffel’s Work in Complex Analysis (1981) (0)
American Mathematical Society Edited by with the Cooperation of Index to Volume 15 [december Cohomology of Groups in Arbitrary Categories (0)
On the Boundary Behavior of a Conformal Map of the Open Unit Disk into a Riemann Surface (1960) (0)
Entire Functions . Ralph Philip Boas, Jr. vol. V of Pure and Applied Mathematics. Paul A. Smith and Samuel Eilenberg, Eds. Academic Press, New York, 1954. xi + 276 pp. $6. (1955) (0)
Analytic entities having associated maps with dense images (1979) (0)
Review: G. H. Hardy and W. W. Rogosinski, Fourier series (1945) (0)
A Boundary Problem Concerning Inner Functions (1986) (0)
A boundary problem for vector-valued analytic functions (1970) (0)
MATHEMA TICS : MORSE A ND HEINS (2005) (0)

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What Schools Are Affiliated With Maurice Heins?

Maurice Heins is affiliated with the following schools: