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The subject of the work is short description of huge amount of n-pointinformation (n-pi) about the system. Methods for solving equations that satisfysuch information are considered. Possible interpretation of left and rightinvertible operators appearing in these equations is also proposed. For localinformation, the creation and annihilation operators satisfying the Cuntzrelations are introduced. It is also introduced the vector describing the localvacuum which completes the equation for n-pi with a global information. Animportant components of the work are examples of local operator-valuedfunctions.

Local and global information and equations with left and right invertible operators in the free Fock space