LEADER 07455nam 22007935 450 001 9910300246003321 005 20230823121928.0 010 $a3-319-18494-6 024 7 $a10.1007/978-3-319-18494-4 035 $a(CKB)3710000000541893 035 $a(EBL)4189306 035 $a(SSID)ssj0001597521 035 $a(PQKBManifestationID)16297588 035 $a(PQKBTitleCode)TC0001597521 035 $a(PQKBWorkID)14885686 035 $a(PQKB)11236971 035 $a(DE-He213)978-3-319-18494-4 035 $a(MiAaPQ)EBC4189306 035 $a(PPN)190885084 035 $a(EXLCZ)993710000000541893 100 $a20151210d2015 u| 0 101 0 $aeng 135 $aurnn#---auaua 181 $ctxt 182 $cc 183 $acr 200 10$aOperator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics$fedited by Wolfgang Arendt, Ralph Chill, Yuri Tomilov 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2015. 215 $a1 online resource (490 p.) 225 1 $aOperator Theory: Advances and Applications,$x0255-0156 ;$v250 300 $aDescription based upon print version of record. 311 $a3-319-18493-8 320 $aIncludes bibliographical references at the end of each chapters. 327 $aIntro; Contents; Preface; Polynomial Internal and External Stability of Well-posed Linear Systems; Minimal Primal Ideals in the Multiplier Algebra of a C0(X)-algebra; Countable Spectrum, Transfinite Induction and Stability; Maximal Regularity in Interpolation Spaces for Second-order Cauchy Problems; Stability of Quantum Dynamical Semigroups; Families of Operators Describing Diffusion Through Permeable Membranes; Multiscale Unique Continuation Properties of Eigenfunctions; Dichotomy Results for Norm Estimates in Operator Semigroups; Estimates on Non-uniform Stability for Bounded Semigroups 327 $aConvergence of the Dirichlet-to-Neumann Operator on Varying DomainsA Banach Algebra Approach to the Weak Spectral Mapping Theorem for Locally Compact Abelian Groups; Regularity Properties of Sectorial Operators: Counterexamples and Open Problems; Global Existence Results for the Navier-Stokes Equations in the Rotational Framework in Fourier-Besov Spaces; Some Operator Bounds Employing Complex Interpolation Revisited; Power-bounded Invertible Operators and Invertible Isometries on Lp Spaces; Generation of Subordinated Holomorphic Semigroups via Yosida's Theorem 327 $aA Quantitative Coulhon-Lamberton TheoremAn Analytic Family of Contractions Generated by the Volterra Operator; Lattice Dilations of Bistochastic Semigroups; Domains of Fractional Powers of Matrix-valued Operators: A General Approach; General Mazur-Ulam Type Theorems and Some Applications ; Traces of Non-regular Vector Fields on Lipschitz Domains; The Lp-Poincare? Inequality for Analytic Ornstein-Uhlenbeck Semigroups; A Murray-von Neumann Type Classification of C*-algebras; Well-posedness via Monotonicity - an Overview 327 $aPerturbations of Exponential Dichotomies for Hyperbolic Evolution EquationsGaussian and non-Gaussian Behaviour of Diffusion Processes; Functional Calculus for C0-semigroups Using Infinite-dimensional Systems Theory; On Self-adjoint Extensions of Symmetric Operators; 1. Introduction; 2. Polynomial stability and well-posed systems; 3. Polynomial stabilizability and detectability; 4. Main results; References; 1. Introduction; 2. Preliminaries; 3. The homeomorphism onto MinPrimal(M(A)); 4. Applications; References; 1. Introduction; 2. Empty spectrum; 3. A complex Tauberian theorem 327 $a4. The ABLV-Theorem5. Cantor's work on trigonometric series; References; 1. Introduction; 2. Preliminaries; 3. An abstract theorem; 4. Maximal regularity of the second-order Cauchy problem in interpolation spaces; 5. The initial value problem; 6. Examples; References; 1. Introduction; 2. Stability; 3. Fixed points and stability; 4. Fixed points and dilations; References; 1. Introduction; 2. Generation theorems for semigroups; 3. Limit behavior (large permeability coefficients); 4. Limit behavior (small permeability coefficients); 5. A cosine family in C(U); 6. A cosine family in L1(R) 327 $aReferences 330 $aThis proceedings volume originates from a conference held in Herrnhut in June 2013. It provides unique insights into the power of abstract methods and techniques in dealing successfully with numerous applications stemming from classical analysis and mathematical physics. The book features diverse topics in the area of operator semigroups, including partial differential equations, martingale and Hilbert transforms, Banach and von Neumann algebras, Schrödinger operators, maximal regularity and Fourier multipliers, interpolation, operator-theoretical problems (concerning generation, perturbation and dilation, for example), and various qualitative and quantitative Tauberian theorems with a focus on transfinite induction and magics of Cantor. The last fifteen years have seen the dawn of a new era for semigroup theory with the emphasis on applications of abstract results, often unexpected and far removed from traditional ones. The aim of the conference was to bring together prominent experts in the field of modern semigroup theory, harmonic analysis, complex analysis and mathematical physics, and to present the lively interactions between all of those areas and beyond. In addition, the meeting honored the sixtieth anniversary of Prof C. J. K. Batty, whose scientific achievements are an impressive illustration of the conference goal. These proceedings present contributions by prominent scientists at this international conference, which became a landmark event. They will be a valuable and inspiring source of information for graduate students and established researchers. 410 0$aOperator Theory: Advances and Applications,$x0255-0156 ;$v250 606 $aPartial differential equations 606 $aOperator theory 606 $aMathematical physics 606 $aFunctional analysis 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 615 0$aPartial differential equations. 615 0$aOperator theory. 615 0$aMathematical physics. 615 0$aFunctional analysis. 615 14$aPartial Differential Equations. 615 24$aOperator Theory. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aFunctional Analysis. 676 $a515.724 702 $aArendt$b Wolfgang$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aChill$b Ralph$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aTomilov$b Yuri$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300246003321 996 $aOperator semigroups meet complex analysis, harmonic analysis and mathematical physics$91522658 997 $aUNINA