Literatur
Bochner, S.: Harmonic analysis and the theory of probability. Berkeley-Los Angeles 1955.
Böge, W.: Unendlich oft teilbare Verteilungen auf lokalkompakten Gruppen. Dissertation, Hamburg (zu veröffentlichen).
Bourbaki, N.: Eléments de mathématique. Livre III: Topologie générale. Paris 1948.
Chevalley, C.: Theory of Lie groups I. Princeton 1946.
Hunt, G. A.: Semi-groups of measures on Lie groups. Trans. Am. Math. Soc.81, 269–293 (1956).
Kloss, B. M.: Limiting distributions on bicompact abelian groups. Teorija Werojatn. Prim.VI, 382–421 (1961).
Kurosch, A. G.: Gruppentheorie. Berlin 1953.
Loomis, L. H.: An introduction to abstract harmonic analysis. New York 1953.
Neveu, J.: Théorie des semi-groupes de Markov. University of California Publ. Statistics2, No. 14, S. 319–394.
Numakura, K.: On bicompact semi-groups. Math. J. Okayama Univ.1, 99–108 (1952).
Pontrjagin, L. C.: Topologische Gruppen. Leipzig 1958.
Stromberg, K.: A note on the convolution of regular measures. Math. Scand.7, 347–352 (1959).
Urbanik, K.: Poisson distributions on compact abelian topological groups. Colloquium Mathematicum6, 13–24 (1958).
—— Gaussian measures on locally compact abelian topological groups. Studia Math.19, 77–88 (1960).
Weil, A.: L'intégration dans les groupes topologiques et ses applications. 2ème édition. Paris 1951.
Wendel, J. G.: Haar measure and the semi-group of measures on a compact group. Proc. Am. Math. Soc.5, 923–929 (1954).
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Carnal, H. Unendlich oft teilbare Wahrscheinlichkeitsverteilungen auf kompakten Gruppen. Math. Ann. 153, 351–383 (1964). https://doi.org/10.1007/BF01360673
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DOI: https://doi.org/10.1007/BF01360673