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Part of the book series: Texts and Readings in Mathematics ((TRM))

Abstract

In this chapter we will discuss the idea of skew product in its ‘simplest’ form. It is a very useful method, due to Anzai, of constructing new automorphisms from known ones.

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References

  1. H. Anzai. Ergodic Skew Product Transformation on The Torus, Osaka Math J. 3 (1951) 83–99.

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  2. E. A. Robinson, Jr. Non-Abelian Extensions Have Non-Simple Spectrum, Composito Math. 65 (1988), 155–170.

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  3. K. Schmidt. Cocycles on Ergodic Transformation Groups, MacMillan Co. of India, 1977.

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© 1998 Hindustan Book Agency

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Nadkarni, M.G. (1998). The Skew Product. In: Spectral Theory of Dynamical Systems. Texts and Readings in Mathematics. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-80250-93-9_5

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