On non-point invertible transformations of difference and differential-difference equations.

Startsev, Sergey Ya.

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Displaying similar documents to “On non-point invertible transformations of difference and differential-difference equations.”

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On two new functional equations for generalized Joukowski transformations

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The purpose of this paper is to solve two functional equations for generalized Joukowski transformations and to give a geometric interpretation to one of them. Here the Joukowski transformation means the function $1 / 2 (z + z^{- 1})$ of a complex variable z.

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A central limit theorem for processes generated by a family of transformations

Marian Jabłoński

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Let $τ_{n}, n \geq 0$ be a sequence of measure preserving transformations of a probability space (Ω,Σ,P) into itself and let $f_{n}, n \geq 0$ be a sequence of elements of $L^{2} (Ω, Σ, P)$ with $E f_{n} = 0$ . It is shown that the distribution of $(\sum_{i = 0}^{n} f_{i} \circ τ_{i} \circ . . . \circ τ_{0}) {(D (\sum_{i = 0}^{n} f_{i} \circ τ_{i} \circ . . . \circ τ_{0}))}^{- 1}$ tends to the normal distribution N(0,1) as n → ∞. 1985 Mathematics Subject Classification: 58F11, 60F05, 28D99.