ABSTRACT
Let (L 2) denote the Hilbert space of complex-valued square integrable functions on the dual space N ′ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203733813/e9279b26-91e9-40dd-8029-b908c0f36f6c/content/eq295.tif"/> of a nuclear space N https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203733813/e9279b26-91e9-40dd-8029-b908c0f36f6c/content/eq296.tif"/> with respect to the standard Gaussian measure on N ′ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203733813/e9279b26-91e9-40dd-8029-b908c0f36f6c/content/eq297.tif"/> . In white noise analysis there have been several constructions of a space X of test functions and the corresponding space X* of generalized functions with the following continuous inclusions: X ⊂ ( L 2 ) ⊂ X * . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780203733813/e9279b26-91e9-40dd-8029-b908c0f36f6c/content/eq298.tif"/>
