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 ..(.,. ∈ ℝ.) 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

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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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