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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Operator Methods for Boundary Value Problems (Paperback, New)
Loot Price: R1,615
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Operator Methods for Boundary Value Problems (Paperback, New)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 12 - 17 working days
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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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