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.

 

Translation-invariant cones of functions on semi-simple lie groups
HTML articles powered by AMS MathViewer

by Harry Furstenberg PDF
Bull. Amer. Math. Soc. 71 (1965), 271-326
References
  • François Bruhat, Sur les représentations induites des groupes de Lie, Bull. Soc. Math. France 84 (1956), 97–205 (French). MR 84713, DOI 10.24033/bsmf.1469
  • Gustave Choquet, Le théorème de représentation intégrale dans les ensembles convexes compacts, Ann. Inst. Fourier (Grenoble) 10 (1960), 333–344 (French). MR 126709, DOI 10.5802/aif.105
  • 3. G. Choquet et J. Deny, Sur l’équation de convolution µ = µ * σ, C. R. Acad. Sci. Paris 250 (1960), 799-801. 4. N. Dunford and J. T. Schwartz, Linear operators, Interscience, New York, 1958.
  • E. B. Dynkin, Non-negative eigenfunctions of the Laplace-Beltrami operator and Brownian motion in certain symmetric spaces, Dokl. Akad. Nauk SSSR 141 (1961), 288–291 (Russian). MR 0132607
  • Harry Furstenberg, A Poisson formula for semi-simple Lie groups, Ann. of Math. (2) 77 (1963), 335–386. MR 146298, DOI 10.2307/1970220
  • I. M. Gel′fand, Spherical functions in symmetric Riemann spaces, Doklady Akad. Nauk SSSR (N.S.) 70 (1950), 5–8 (Russian). MR 0033832
  • Sigurđur Helgason, Differential geometry and symmetric spaces, Pure and Applied Mathematics, Vol. XII, Academic Press, New York-London, 1962. MR 0145455
  • L. H. Loomis, Unique direct integral decompositions on convex sets, Amer. J. Math. 84 (1962), 509–526. MR 145038, DOI 10.2307/2372987
  • Calvin C. Moore, Compactifications of symmetric spaces, Amer. J. Math. 86 (1964), 201–218. MR 161942, DOI 10.2307/2373040
  • 11. Séminaire Sophus Lie, Théorie des algèbres de Lie, École Normale Supérieure 1954/1955.
Additional Information
  • Journal: Bull. Amer. Math. Soc. 71 (1965), 271-326
  • DOI: https://doi.org/10.1090/S0002-9904-1965-11283-6
  • MathSciNet review: 0177062