Titlebook: Harmonic Analysis in Hypercomplex Systems; Yu. M. Berezansky,A. A. Kalyuzhnyi Book 1998 Springer Science+Business Media B.V. 1998 Fourier

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Introduction,rmonic analysis can be generalized by replacing exponential functions ..(.,. ∈ ?.) by some family of complex-valued functions .(., .) which inherit the following property of the indicated exponential functions: The exponential functions are connected with the family of ordinary translation operators

衰老

General Theory of Hypercomplex Systems, (commutative) hypercomplex system with continuous basis and developed harmonic analysis for such systems. Each hypercomplex system is a Banach *-algebra of functions on a locally compact space (the basis of a hypercomplex system). It generalizes the concept of hypercomplex system with finite basis

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Examples of Hypercomplex Systems,tence of a Fourier-type transformation satisfying the Plancherel theorem and the inversion formula. These generalized translation operators often possess additional properties which enable one to construct a hypercomplex system. In view of the existence of developed harmonic analysis for hypercomple

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ecifications of multiagent system. The benefits of formal methods become clearer when we recognize the cost of developing a defective multiagent system. This paper seeks to introduce engineers to the possibilities of applying formal methods for multiagent systems. To this end, it discusses selected

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