Bulletin (New Series) of the American Mathematical Society

Harmonic analysis as the exploitation of symmetry–a historical survey

George W. Mackey

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc. (N.S.) Volume 3, Number 1, Part 1 (1980), 543-698.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
http://projecteuclid.org/euclid.bams/1183546470

Mathematical Reviews number (MathSciNet)
MR571370

Zentralblatt MATH identifier
0437.43001

Subjects
Primary: 01 10 12 20 22 26 28 30 35 40 42 43 45 46 47 60 62 70 76 78 80 81 82

Citation

Mackey, George W. Harmonic analysis as the exploitation of symmetry–a historical survey. Bull. Amer. Math. Soc. (N.S.) 3 (1980), 543--698. http://projecteuclid.org/euclid.bams/1183546470.


Export citation

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).
  • [3] Bell, E. T., The Development of Mathematics, 2nd ed. (New York and London: McGraw Hill, 1942).
  • [4] Davenport, H., Multiplicative Number Theory (Chicago: Markham Publishing Co., 1967).
  • [5] Feit, Walter, "Theory of Finite Groups in the Twentieth Century", to appear in Graduate Studies, Texas Tech University.
  • [6] Gillispie, C. C, ed., Dictionary of Scientific Biography.
  • [7] Grattan-Guinness, I., Joseph Fourier, 1768-1830 (Cambridge, Mass.:M.I.T. Press, 1972).
  • [8] Hawkins, Thomas, Lebesgue's Theory of Integration: Its Origins and Development (Madison: University of Wisconsin Press, 1970).
  • [9] Hawkins, Thomas, "The Origins of the Theory of Group Characters", Archive for History of Exact Sciences 7 (1970-71): 142-170.
  • [10] Hawkins, Thomas, "Hypercomplex Numbers, Lie Groups and the Creation of Group Representation Theory", Archive for History of Exact Sciences 8 (1971-72): 243-287.
  • [11] Hawkins, Thomas, "New Light on Frobenius' Creation of the Theory of Group Characters", Archive for History of Exact Sciences 12 (1974): 217-243.
  • [12] Hermann, Armin, The Genesis of Quantum Theory (1899-1913) (Cambridge, Mass., and London: M.I.T. Press, 1971).
  • [13] Kuhn, T. S., The Black-Body Problem and the Quantum Discontinuity, 1894-1912 (New York and Oxford: Oxford Univ. Press, 1978).
  • [14] Mackey, G. W., "Infinite Dimensional Group Representations", Bull. Amer. Math. Soc. 69 (1963): 628-686.
  • [15] Mackey, G. W., The Theory of Unitary Group Representations (Chicago and London: University of Chicago Press, 1976).
  • [16] Whittaker, E., A History of the Theories of Aether and Electricity, Vol. I, The Classical Theories (New York: Philosophical Library, 1951).
  • [17] Whittaker, E., A History of the Theories of Aether and Electricity, Vol. II, The Modern Theories (1900-1926) (New York: Philosophical Library, 1954).