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April, 1973 Geometry of Differential Space
H. P. McKean
Ann. Probab. 1(2): 197-206 (April, 1973). DOI: 10.1214/aop/1176996973


The purpose of this paper is to explain why it is fruitful to think of Wiener space as an infinite--dimensional sphere of radius $\infty\frac{1}{2}$. The idea goes back to Levy and Wiener and has recently been employed to advantage by Hida; Hida, Kubo, Nomoto and Yosizawa; Kono; Orihara and Umemura; their results will be reported upon below.


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H. P. McKean. "Geometry of Differential Space." Ann. Probab. 1 (2) 197 - 206, April, 1973.


Published: April, 1973
First available in Project Euclid: 19 April 2007

zbMATH: 0263.60035
MathSciNet: MR353471
Digital Object Identifier: 10.1214/aop/1176996973

Primary: 60J65

Keywords: Brownian motion , differential space , Laplace operator , polynomial chaos , Spherical harmonics

Rights: Copyright © 1973 Institute of Mathematical Statistics

Vol.1 • No. 2 • April, 1973
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