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The main theme of the book is the spectral theory for evolution operators and evolution semigroups, a subject tracing its origins to the classical results of J. Mather on hyperbolic dynamical systems and J. Howland on nonautonomous Cauchy problems. The authors use a wide range of methods and offer a unique presentation. The authors give a unifying approach for a study of infinite-dimensional nonautonomous problems, which is based on the consistent use of evolution semigroups. This unifying idea connects various questions in stability of semigroups, infinite-dimensional hyperbolic linear skew-product flows, translation Banach algebras, transfer operators, stability radii in control theory, Lyapunov exponents, magneto-dynamics and hydro-dynamics. Thus the book is much broader in scope than existing books on asymptotic behavior of semigroups. Included is a solid collection of examples from different areas of analysis, PDEs, and dynamical systems. This is the first monograph where the spectral theory of infinite dimensional linear skew-product flows is described together with its connection to the multiplicative ergodic theorem; the same technique is used to study evolution semigroups, kinematic dynamos, and Ruelle operators; the theory of stability radii, an important concept in control theory, is also presented. Examples are included and non-traditional applications are provided.
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Book Description American Mathematical Society, 1999. Hardcover. Condition: New. Seller Inventory # DADAX0821811851
Book Description American Mathematical Society, 1999. Condition: New. book. Seller Inventory # M0821811851
Book Description American Mathematical Society, 1999. Hardcover. Condition: New. Never used!. Seller Inventory # P110821811851
Book Description Amer Mathematical Society, 1999. Hardcover. Condition: Brand New. 361 pages. 10.00x7.00x1.00 inches. In Stock. Seller Inventory # 0821811851
Book Description American Mathematical Society, 1999. Hardcover. Condition: New. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!. Seller Inventory # 0821811851n