Infinitesimal Fourier Transformation for The Space of Functionals
Abstract
The purpose is to formulate a Fourier transformation for the space of functionals, as an infinitesimal meaning. We extend R to ( R) under the base of nonstandard methods for the construction. The domain of a functional is the set of all internal functions from a -finite lattice to a -finite lattice with a double meaning. Considering a -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.
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