NEUTRALIZED VALUES. 1. INTRODUCTION.
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MATHEMATICS RESEARCH CENTER UNIV OF WISCONSIN MADISON
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Starting from a given fundamental set by means of neutrices new mathematical objects Neutralized Values are introduced. The relations between these objects form a new analysis neutrix calculus, which comprises not only the classical analysis, but infinitely many other calculi, such as that of the generalized functions and the operational calculus. Each of these calculi has a certain structure by which the calculus is determined. In the special neutrix calculus only neutralized values are admitted which are equal to an element of the fundamental set. The general neutrix calculus yields results outside the fundamental analysis. The introduction treats the neutrices, the neutralized values, the structures, the operators and the pseudo operators. Hadamard neutrices and some Laplace transforms. The following reports under the overall title Neutralized Values will treat applications of the theory developed in this introduction. Author
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