On a conjecture concerning a theorem of Cramer and Wold

[摘要] A conjecture concerning the Cramer-Wold device is answered in the negative by giving a Fourier-free, probabilistic proof using only elementary techniques. It is also shown how a geometric idea allows one to interpret the Cramer-Wold device as a special case of a more general concept. (C) 1997 Academic Press.

[发布日期] 1997-11-01

[关键词] Cramer-Wold device;determining class;Fourier analysis;halfspace;polar set