As a result of studying and solving certain extremal problems defined on
the basis of finite and infinite dimensional pseudo-Hilbert space, the authors present
a generalization of the classical regression idea. Given discrete or continuous empiric
data, the class of solutions is uniquely determined and expressed in a new form of the
regression function sequences, both within the asynchronous and synchronous type
in a given pseudo-Hilbert space. With the help of this new technique, a large variety
of observed phenomena in different areas of practical and theoretical sciences can be
precisely described and investigated.

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• Generalized approach to the problem of regression