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{ "item_title" : "Operator Methods for Boundary Value Problems", "item_author" : [" Seppo Hassi", "Hendrik S. V. de Snoo", "Franciszek Hugon Szafraniec "], "item_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.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/1/10/760/611/110760611X_b.jpg", "price_data" : { "retail_price" : "76.00", "online_price" : "76.00", "our_price" : "76.00", "club_price" : "76.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Operator Methods for Boundary Value Problems|Seppo Hassi

Operator Methods for Boundary Value Problems

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Overview

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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Details

  • ISBN-13: 9781107606111
  • ISBN-10: 110760611X
  • Publisher: Cambridge University Press
  • Publish Date: October 2012
  • Dimensions: 8.9 x 5.9 x 0.6 inches
  • Shipping Weight: 1 pounds
  • Page Count: 309

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