Einar Hille | Academic Influence

Einar Hille's AcademicInfluence.com Rankings

Einar Hille

Mathematics

#924

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Measure Theory

#296

Historical Rank

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Mathematics

Einar Hille's Degrees

PhD Mathematics University of Göttingen

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According to Wikipedia, Carl Einar Hille was an American mathematics professor and scholar. Hille authored or coauthored twelve mathematical books and a number of mathematical papers. Early life and education Hille was born in New York City. His parents were both immigrants from Sweden who separated before his birth. His father, Carl August Heuman, was a civil engineer. He was brought up by his mother, Edla Eckman, who took the surname Hille. When Einar was two years old, he and his mother returned to Stockholm. Hille spent the next 24 years of his life in Sweden, returning to the United States when he was 26 years old. Hille entered the University of Stockholm in 1911. Hille was awarded his first degree in mathematics in 1913 and the equivalent of a master's degree in the following year. He received a Ph.D. from Stockholm in 1918 for a doctoral dissertation entitled Some Problems Concerning Spherical Harmonics.

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Einar Hille'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

Functional Analysis And Semi-Groups (1948) (2512)
Analytic Function Theory (1961) (818)
Lectures on ordinary differential equations (1968) (498)
Introduction to complex analysis (1983) (465)
Ordinary di?erential equations in the complex domain (1976) (381)
Non-oscillation theorems (1948) (335)
Analytic Function Theory. Volume II (1973) (215)
Calculus: One and Several Variables (1971) (142)
On the characteristic values of linear integral equations (1931) (128)
On the Summability of Fourier Series. (1928) (121)
On the Theory of Linear Integral Equations. II (1930) (102)
On some generalizations of a theorem of A. Markoff (1937) (95)
Methods In Classical And Functional Analysis (1972) (89)
A Class of Reciprocal Functions (1926) (88)
Analytic Function Theory, Volume 2 (1962) (84)
Remarks on a paper by Zeev Nehari (1949) (83)
Introduction to general theory of reproducing kernels (1972) (67)
Remarks On A Known Example of A Monotone Continuous Function (1929) (50)
On the absolute integrability of Fourier transforms (1935) (48)
Some aspects of the Thomas-Fermi equation (1970) (43)
On the Thomas-fermi equation. (1969) (42)
A problem in "Factorisatio Numerorum" (1936) (39)
The abstract Cauchy problem and Cauchy's problem for parabolic differential equations (1953) (39)
Remarks on ergodic theorems (1945) (36)
Contributions to the theory of Hermitian series. II. The representation problem (1940) (35)
Pathology of infinite systems of linear first order differential equations with constant coefficients (1961) (34)
Contributions to the theory of Hermitian series (1939) (33)
On roots and logarithms of elements of a complex Banach algebra (1958) (32)
On the Summability of Fourier Series. II (1933) (29)
Notes on Linear Transformations. II. Analyticity of Semi-Groups (1939) (27)
On the Theory of Fourier Transforms (1933) (26)
Oscillation theorems in the complex domain (1922) (25)
Notes on linear transformations. I (1936) (25)
On the Theory of Characters of Groups and Semi-Groups in Normed Vector Rings. (1944) (23)
The inversion problem of Möbius (1937) (22)
On the Analytical Theory of Semi-Groups. (1942) (20)
A Bibliography on orthogonal polynomials : Report of the commitee on A Bibliography on orthogonal polynomials Division of Ohysical Sciences National Research Council (1940) (19)
Some geometric extremal problems (1966) (19)
On Laguerre's Series: First Note. (1926) (19)
On a Theorem of Paley and Wiener (1933) (18)
Note on a Power Series Considered By Hardy and Littlewood (1929) (17)
An existence theorem (1924) (17)
Representation of One-Parameter Semi-Groups of Linear Transformations. (1942) (17)
On the Landau-Kallman-Rota inequality (1972) (17)
Generalizations of Landau’s Inequality to Linear Operators (1972) (16)
On some generalizations of the Malmquist theorem. (1976) (16)
Laguerre polynomials and Laplace integrals (1945) (15)
On Moment Functions. (1933) (15)
On Functions of Bounded Deviation (15)
Formulations of the Hausdorff inclusion problem (1941) (15)
Some remarks on Briot-Bouquet differential equations, II (1978) (14)
Questions of Relative Inclusion in the Domain of Hausdorff Means. (1933) (14)
A Pythagorean Functional Equation (1922) (13)
On the Zeros of Mathieu Functions (13)
Higher order Briot—Bouquet differential equations (1978) (12)
Riemann’s localization theorem for Fourier series (1954) (12)
Summation of Fourier series (1932) (11)
On Laguerre's Series: Second Note. (1926) (11)
On the summability of fourier series. III (1933) (10)
On Semi-Groups of Transformations in Hilbert Space. (1938) (10)
Analysis, Volume I. (1966) (10)
Bilinear formulas in the theory of the transformation of Laplace (1939) (10)
Note on Dirichlet's Series with Conplex Exponents (1924) (9)
On the oscillation of differential transforms. II. Characteristic series of boundary value problems (1942) (9)
8.—On a Class of Series Expansions in the Theory of Emden's Equation (1973) (9)
3.—A Note on Quadratic Systems (1974) (8)
Jacob David Tamarkin—His life and work (1947) (8)
A Bibliography of Orthogonal Polynomials (1941) (8)
A note on Cauchy's problem (1952) (8)
GREEN'S TRANSFORMS AND SINGULAR BOUNDARY VALUE PROBLEMS, (1963) (8)
On a class of non-linear second order differential equations (1971) (7)
On the completeness of Lambert functions (1936) (7)
Note on Some Hypergeometric Series of Higher Order (7)
Pseudo-Poles in the Theory of Emden's Equation. (1972) (6)
Some problems concerning spherical harmonics (6)
On Laguerre's Series: Third Note. (1926) (6)
A Class of Functional Equations (6)
A remark on Fourier transforms and functions analytic in a half-plane (1935) (6)
A class of differential operators of infinite order, I (1940) (6)
Lie theory of semi-groups of linear transformations (1950) (6)
On the Theory of Laplace Integrals. (1933) (5)
Analysis, Vol. 2. (1969) (5)
Hypergeometric functions and conformal mapping (1979) (5)
On the complex zeros of the Bessel functions (1943) (5)
Linear differential equations in Banach algebras (1963) (5)
Trigonometric Series . vols. 1 and 2. A. Zygmund. Cambridge University Press, New York, ed. 2, 1959. xii + 383 pp.; vii + 354 pp. $15 per volume; $27.50 per set. (1959) (4)
Behavior of solutions of linear second order differential equations (1952) (4)
A note on transfinite diameters (1965) (4)
On the Characteristic Values of Linear Integral Equations. (1928) (4)
Gelfond's Solution of Hilbert's Seventh Problem (1942) (4)
Classical analysis and functional analysis : selected papers (1975) (4)
First Year Calculus (1968) (3)
29.—Finiteness of the Order of Meromorphic Solutions of some Non-linear Ordinary Differential Equations (1975) (3)
The differentiability and uniqueness of continuous solutions of addition formulas (1947) (3)
An application of Prüfer's method to a singular boundary value problem (1959) (3)
Convex distribution of the zeros of Sturm-Liouville functions (1922) (3)
Contributions to the theory of Hermitian series III. Meanvalues (1980) (3)
Open Additive Semi-Groups of Complex Numbers (1943) (3)
A General Type of Singular Point. (1924) (3)
Note on the Behavior of Certain Power Series on the Circle of Convergence with Application to a Problem of Carleman. (1928) (3)
Miscellaneous Questions in the Theory of Differential Equations (1926) (3)
Differential Operators of infinite order (1980) (2)
On the Completeness of Lambert Functions, II (1936) (2)
An Integral Equality and its Applications. (1921) (2)
Thomas Hakon Gronwall—In memoriam (1932) (2)
On a special weyl-titchmarsh problem (1978) (2)
Addition to the Paper "On the Summability of Fourier Series II" (1933) (2)
Some observations on the theory of Fourier transforms (1935) (2)
Methods in Classical and Functional Analysis.@@@Functional Analysis in Historical Perspective.@@@Principles of Functional Analysis. (1977) (2)
Note on the Preceding Paper by Mr. Peek (2)
Some extremal properties of Laplace transforms . (1953) (2)
On a class of interpolation series (1979) (2)
Review: J. M. Whittaker, Interpolatory Function Theory (1936) (1)
Remarks on a Problem of Toeplitz (1932) (1)
Some properties of the Jordan operator (1968) (1)
Some Remarks on Dirichlet's Series (1)
ON THE INTEGRATION OF KOLMOGOROFF'S DIFFERENTIAL EQUATIONS. (1954) (1)
Courant and Hilbert on Mathematical Physics (1925) (1)
On the Absolute Convergence of Polynomial Series (1938) (1)
Nevanlinna on Analytic Functions (1939) (0)
Book Review: The Theory and Construction of Nondifferentiable Functions (1939) (0)
Some properties of the Jordan operator (1969) (0)
Classical analytic representations (1969) (0)
Book Review: An Introduction to the Theory of Functions of a Complex Variable (1936) (0)
ON THE SUMMABILITY OF FOURIER SERIES. SECOND NOTE. (1929) (0)
Review: H. T. Davis, The Theory of Linear Operators from the Standpoint of Differential Equations of Infinite Order (1939) (0)
The Harmony of the World: Mathematics and Mathematicians from Abel to Zermelo (1953) (0)
ON THE SUMMABILITY OF FOURIER SERIES. THIRD NOTE. (1930) (0)
An elementary proof of the Jordan normal form theorem based on the resolvent (1981) (0)
In retrospect (1924) (0)
Review: G. Doetsch, Handbuch der Laplace-Transformation. Vol. 1. Theorie der Laplace-Transformation (1952) (0)
On the Summability of Fourier Series. Fifth Note. (1934) (0)
On the Summability of Fourier Series. Fourth Note. (1931) (0)
Review: A. N. Singh, The Theory and Construction of Nondifferentiable Functions (1939) (0)
Einar Hille, classical analysis and functional analysis : selected papers. (1975) (0)
Wiener on the Fourier Integral (1935) (0)
Stone on Hilbert Space (1934) (0)
Auerbach on Mathematical Physics (1925) (0)
On the Complex Zeros of the Associated Legendre Functions (1933) (0)
On the Theory of Laplace Integrals: II. (1934) (0)
THE AMERICAN MATHEMATICAL SOCIETY. (0)
The mathematical congress in Stockholm (1935) (0)
Lectures on Differential Equations[MatSciRep:7]: (course of three lectures) Spring 1963 (1963) (0)

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