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Author: Professor Seppo Hassi | Category: Mathematics | Language: English | Page: 309 | ISBN: 110760611X | ISBN13: 9781107606111 |

Description: 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.

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