Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Harmonic analysis as the exploitation of symmetry-a historical survey
HTML articles powered by AMS MathViewer

by George W. Mackey PDF
Bull. Amer. Math. Soc. 3 (1980), 543-698
References
    [1] Borel, A., Formes Automorphes et Series de Dirichlet ]d’apres R.P. Langlands], Séminaire Bourbaki 1974/75, #466. [2] Bell, E. T., Men of Mathematics (New York: Simon and Schuster, 1937).
  • E. T. Bell, The Development of Mathematics, McGraw-Hill Book Co., Inc., New York, 1945. MR 0016318
  • Harold Davenport, Multiplicative number theory, Lectures in Advanced Mathematics, No. 1, Markham Publishing Co., Chicago, Ill., 1967. Lectures given at the University of Michigan, Winter Term, 1966. MR 0217022
  • Walter Feit, Theory of finite groups in the twentieth century, American mathematical heritage: algebra and applied mathematics (El Paso, Tex., 1975/Arlington, Tex., 1976) Math. Ser., vol. 13, Texas Tech Univ., Lubbock, Tex., 1981, pp. 37–60. MR 641701
  • [6] Gillispie, C. C, ed., Dictionary of Scientific Biography.
  • I. Grattan-Guinness, Joseph Fourier 1768-1830, MIT Press, Cambridge, Mass.-London, 1972. A survey of his life and work, based on a critical edition of his monograph on the propagation of heat, presented to the Institut de France in 1807; In collaboration with J. R. Ravetz. MR 0419139
  • Thomas Hawkins, Lebesgue’s theory of integration. Its origins and development, University of Wisconsin Press, Madison, Wis.-London, 1970. MR 0269473
  • Thomas Hawkins, The origins of the theory of group characters, Arch. History Exact Sci. 7 (1971), no. 2, 142–170. MR 1554141, DOI 10.1007/BF00411808
  • Thomas Hawkins, Hypercomplex numbers, lie groups, and the creation of group representation theory, Arch. History Exact Sci. 8 (1972), no. 4, 243–287. MR 1554156, DOI 10.1007/BF00328434
  • Thomas Hawkins, New light on Frobenius’ creation of the theory of group characters, Arch. History Exact Sci. 12 (1974), 217–243. MR 0446837, DOI 10.1007/BF00357245
  • [12] Hermann, Armin, The Genesis of Quantum Theory (1899-1913) (Cambridge, Mass., and London: M.I.T. Press, 1971).
  • Thomas S. Kühn, Black-body theory and the quantum discontinuity, 1894–1912, The Clarendon Press, Oxford University Press, New York, 1978. MR 571012
  • George W. Mackey, Infinite-dimensional group representations, Bull. Amer. Math. Soc. 69 (1963), 628–686. MR 153784, DOI 10.1090/S0002-9904-1963-10973-8
  • George W. Mackey, The theory of unitary group representations, Chicago Lectures in Mathematics, University of Chicago Press, Chicago, Ill.-London, 1976. Based on notes by James M. G. Fell and David B. Lowdenslager of lectures given at the University of Chicago, Chicago, Ill., 1955. MR 0396826
  • Edmund Whittaker, A history of the theories of aether and electricity. Vol. I. The classical theories, Philosophical Library, New York, N. Y., 1951. MR 0048357
  • Edmund Whittaker, A history of the theories of aether and electricity. Vol. II. The modern theories, 1900–1926, Philosophical Library, New York, N. Y., 1954. MR 0061057
Similar Articles
Additional Information
  • Journal: Bull. Amer. Math. Soc. 3 (1980), 543-698
  • MSC (1980): Primary 01, 10, 12, 20, 22, 26, 28, 30, 35, 40, 42, 43, 45, 46, 47, 60, 62, 70, 76, 78, 80, 81, 82
  • DOI: https://doi.org/10.1090/S0273-0979-1980-14783-7
  • MathSciNet review: 571370