Lynn Harold Loomis
#46,270
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American mathematician
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Lynn Harold Loomismathematics Degrees
Mathematics
#2285
World Rank
#3555
Historical Rank
#910
USA Rank
Measure Theory
#2574
World Rank
#3084
Historical Rank
#736
USA Rank
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Mathematics
Why Is Lynn Harold Loomis Influential?
(Suggest an Edit or Addition)According to Wikipedia, Lynn Harold Loomis was an American mathematician working on analysis. Together with Hassler Whitney, he discovered the Loomis–Whitney inequality. Loomis received his PhD in 1942 from Harvard University under Salomon Bochner with thesis Some Studies on Simply-Connected Riemann Surfaces: I. The Problem of Imbedding II. Mapping on the Boundary for Two Classes of Surfaces. After completing his PhD, Loomis was a professor at Radcliffe College and from 1949 at Harvard. From 1956, he was a member of the American Academy of Arts and Sciences.
Lynn Harold Loomis's Published Works
Published Works
- An Introduction to Abstract Harmonic Analysis (1953) (938)
- An inequality related to the isoperimetric inequality (1949) (317)
- The lattice theoretic background of the dimension theory of operator algebras (1955) (91)
- The Spectral Characterization of a Class of Almost Periodic Functions (1960) (74)
- The converse of the Fatou theorem for positive harmonic functions (1943) (57)
- A note on the Hilbert transform (1946) (56)
- On the representation of $\sigma$-complete Boolean algebras (1947) (41)
- Linear Functionals and Content (1954) (31)
- UNIQUE DIRECT INTEGRAL DECOMPOSITIONS ON CONVEX SETS.*1 (1962) (26)
- On A Theorem of von Neumann. (1946) (24)
- Positive definite functions and induced representations (1960) (23)
- Note on a theorem of Mackey (1952) (21)
- The Poisson integral representation of functions which are positive and harmonic in a half-plane (1942) (21)
- Abstract Congruence and the Uniqueness of Haar Measure (1945) (11)
- Haar measure in uniform structures (1949) (9)
- Dilations and extremal measures (1975) (7)
- The Intrinsic Measure Theory of Riemannian and Euclidean Metric Spaces (1944) (6)
- Abstract Harmonic Analysis. vol. 1, Structure of Topological Groups, Integration Theory, and Group Representations. Edwin Hewitt and Kenneth A. Ross. Springer, Berlin; Academic Press, New York, 1963. viii + 519 pp. Illus. $19 (1964) (6)
- The decomposition of meromorphic functions into rational functions of univalent functions (1941) (3)
- The radius and modulus of $n$-valence for analytic functions whose first $n-1$ derivatives vanish at a point (1940) (2)
- A short proof of the completeness of the Laguerre functions (1944) (2)
- Introduction to calculus (1975) (2)
- Review: Paul Bernays, A System of Axiomatic Set Theory (1944) (1)
- Mathematics: Abstract Harmonic Analysis . vol. 1, Structure of Topological Groups, Integration Theory, and Group Representations . Edwin Hewitt and Kenneth A. Ross. Springer, Berlin; Academic Press, New York, 1963. viii + 519 pp. Illus. $19. (1964) (0)
- Review: W. W. Rogosinski, Volume and integral (1954) (0)
- Book Review: The Lebesgue integral (1953) (0)
- An elementary proof of the strong form of the Cauchy theorem (1944) (0)
- On an inequality of Seidel and Walsh (1942) (0)
- Review: J. C. Burkill, The Lebesgue integral (1953) (0)
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