Unitarizing measure: The Heisenberg algebra, the Virasoro algebra;Mesure unitarisante: Algèbre de Heisenberg, algèbre de Virasoro

Comptes Rendus Mathematique

Volumn 334, Issue 9, 2002, Pages 787-792

  Airault, Hélène ^a,b  

^a UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

^b Faculté de Mathématiques et d Informatique   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038237351     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02331-2     Document Type: Article

References (8)

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2. V. Bargmann, On a Hilbert space of analytic functions and an associated integral transform, Comm. Pure Appl. Math. XIV (1961) 187-214.
3. A.A. Kirillov, Introduction to the Theory of Representations and Noncommutative Harmonic Analysis, in: A.A. Kirillov (Ed.), Representation Theory and Noncommutative Harmonic Analysis I, Encyclopedia of Mathematics, Springer-Verlag, p. 125.
4. P. Malliavin, H. Airault, L. Kay, G. Letac, Integration and probability, in: Gaussian Sobolev Spaces and Stochastic Calculus of Variations, Graduate Texts in Math., Vol. 157, Springer-Verlag, Chapitre V, pp. 235-237.
5. Yu.A. Neretin, II. Representations of Virasoro and Affine Lie Algebras, in: A.A. Kirillov (Ed.), Representation Theory and Noncommutative Harmonic Analysis I, Encyclopedia of Mathematics, Springer-Verlag, p. 177.
6. Yu.A. Neretin, Categories of Symmetries and Infinite-Dimensional Groups, London Math. Soc. Monographs (NS), Vol. 16, Clarendon Press, Oxford, 1996.
7. K.R. Parthasarathy, Probability Measures on Metric Spaces, Academic Press, New York, 1967.
8. J. Von Neumann, Die Eindeutigkeit der Schrodingerschen Operatoren, Math. Ann. 104 (1931) 570-578.