A sharp form of the cramér-wold theorem

Journal of Theoretical Probability

Volumn 20, Issue 2, 2007, Pages 201-209

  Cuesta Albertos, Juan Antonio ^a   Fraiman, Ricardo ^b   Ransford, Thomas ^c  

^a UNIVERSITY OF CANTABRIA   (Spain)

^b UNIVERSIDAD DE SAN ANDRÉS   (Argentina)

^c UNIVERSITÉ LAVAL   (Canada)

Author keywords

Cram r Wold theorem; Hilbert spaces; Probability measures; Projections

Indexed keywords

EID: 33845804196     PISSN: 08949840     EISSN: 15729230     Source Type: Journal    
DOI: 10.1007/s10959-007-0060-7     Document Type: Article

References (9)

1. Bélisle, C., Massé, J.C., Ransford, T.: When is a probability measure determined by infinitely many projections? Ann. Probab. 25, 767-786 (1997)
2. Cramér, H., Wold, H.: Some theorems on distribution functions. J. Lond. Math. Soc. 11, 290-295 (1936)
3. Cuesta-Albertos, J.A., Fraiman, R., Ransford, T.: Random projections and goodness-of-fit tests in infinite-dimensional spaces. Bull. Braz. Math. Soc. (N.S.) 37(4), 1-25 (2006)
4. Gilbert, W.M.: Projections of probability distributions. Acta Math. Acad. Sci. Hung. 6, 195-198 (1955)
5. Laha, R.G., Rohatgi, V.K.: Probability Theory. Wiley, New York (1979)
6. Reid, M.: Undergraduate Algebraic Geometry. Cambridge University Press, Cambridge (1988)
7. Rényi, A.: On projections of probability distributions. Acta Math. Acad. Sci. Hung. 3, 131-132 (1952)
8. Shohat, J.A., Tamarkin, J.D.: The Problem of Moments. Am. Math. Soc., Providence (1943)
9. Stein, E.M., Weiss, G.: Fourier Analysis on Euclidean Spaces. Princeton University Press, Princeton (1971)