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More about Operator Methods for Boundary Value Problems

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Book synopsis

Presented in this volume are a number of new results concerning the extension theory and spectral theory of unbounded operators using the recent notions of boundary triplets and boundary relations. This approach relies on linear single-valued and multi-valued maps, isometric in a Krein space sense, and offers a basic framework for recent developments in system theory. Central to the theory are analytic tools such as Weyl functions, including Titchmarsh-Weyl m-functions and Dirichlet-to-Neumann maps. A wide range of topics is considered in this context from the abstract to the applied, including boundary value problems for ordinary and partial differential equations; infinite-dimensional perturbations; local point-interactions; boundary and passive control state/signal systems; extension theory of accretive, sectorial and symmetric operators; and Calkin's abstract boundary conditions. This accessible treatment of recent developments, written by leading researchers, will appeal to a broad range of researchers, students and professionals.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Operator Methods for Boundary Value Problems
• Author: Seppo Hassi
• Language: English
• Binding: Paperback
• Number of pages: 309
• EAN: 9781107606111
• ISBN: 110760611X
• ID: 01232074
• Publisher: Cambridge University Press
• Weight: 45 g
• Dimensions: 227 × 154 × 19 mm
• Date of publishing: 11. October 2012

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