37:. During WW I, he was in the U.S. army and at Princeton University taught meteorology to army aviation students. After the war he taught, starting as an instructor in February 1919, at Columbia University. There he became in 1924 an assistant professor and in 1931 an associate professor, in which position he remained until his death from a heart attack following minor surgery in 1943.
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Pfeiffer is known for publishing the first example of a holomorphic function with a non-linearizable irrational indifferent fixed point. The question of the linearizability of fixed points is of great importance in
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107:"A property of the level lines of a region with a rectifiable boundary." Bulletin of the American Mathematical Society 34, no. 5 (1928): 656–664.
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A description and discussion of the results of
Pfeiffer, Cremer and Siegel are available in the book by Alexander, Iavernaro and Rosa.
33:. He spent the academic year 1914–1915 as a Benjamin Pierce Instructor at Harvard University and then in 1915 became an instructor at
98:"Note on the linear dependence of analytic functions." Bulletin of the American Mathematical Society 23, no. 3 (1916): 117–118.
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Harvard U., Bulletin of the American Mathematical Society, 1914–1915, vol. 21, p. 368
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General
Registry of the Members of the Phi Kappa Sigma Fraternity 1850–1920. Philadelphia, 1920; p. 448
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gave various criteria for the non-linearizability of irrational indifferent fixed points, while
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409:. Transactions of the American Mathematical Society, vol. 18 (1917), no. 2, pp. 185–198
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Early days in complex dynamics: a history of complex dynamics in one variable 1906-1940
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Pfeifer's appointment to
Columbia U., Bulletin of the AMS, 1918–1919, vol. 25, p. 284
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Pfeiffer's appointment to
Princeton U., Bull. of the AMS, 1915–1916 vol. 22, p. 369
22:(16 July 1889, New York City – 28 December 1943) was an American mathematician.
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in 1942 gave conditions which imply the linearizability of such fixed points.
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On the
Conformal Mapping of Curvilinear Angles. The Functional Equation
334:. Bulletin of the American Mathematical Society, vol. 22 (1916), p. 163
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and then his A.M. in 1911 and in 1914 his Ph.D. in mathematics from
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Pfeiffer received in 1910 his master's degree in engineering from
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Existence of divergent solutions of the functional equations
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American
Journal of Mathematics 37, no. 4 (1915): 395–430.
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Daniel
Alexander, Felice Iavernaro, Alessandro Rosa:
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Columbia
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is a given analytic function, in the irrational case
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86:"On the conformal geometry of analytic arcs."
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401:{\displaystyle \varphi =a_{1}\varphi (x)}
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178:"Math Prof Passes Away After Illness".
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