SOME SYSTEMS OF DUALITIES IN WHITE NOISE ANALYSIS

摘要

The main aim of this report is to see characteristic properties of the space (L~2)~-of generalized white noise functionals in terms of dualities between various pairings of subspaces of (L~2)~-. With this investigation we naturally come to the study of the subspaces of (L~2)~- of degree n and the isomorphisms to the Sobolev spaces.