説明
The purpose is to formulate a Fourier transformation for the space of functionals, as an infinitesimal meaning. We extend ${\bf R}$ to $ ^{\star}(^{\ast}{\bf R})$ under the base of nonstandard methods for the construction. The domain of a functional is the set of all internal functions from a $ ^{\ast}$-finite lattice to a $ ^{\ast}$-finite lattice with a double meaning. Considering a $ ^{\ast}$-finite lattice with a double meaning, we find how to treat the domain for a functional in our theory of Fourier transformation, and calculate two typical examples.
収録刊行物
-
- Topics in Almost Hermitian Geometry and Related Fields
-
Topics in Almost Hermitian Geometry and Related Fields 190-207, 2005-07-01
World Scientific Pub Co Pte Ltd
