LEADER 03395nam 2200661 450 001 9910480393003321 005 20170822144258.0 010 $a1-4704-0498-2 035 $a(CKB)3360000000465076 035 $a(EBL)3114227 035 $a(SSID)ssj0000888822 035 $a(PQKBManifestationID)11453145 035 $a(PQKBTitleCode)TC0000888822 035 $a(PQKBWorkID)10865492 035 $a(PQKB)11193317 035 $a(MiAaPQ)EBC3114227 035 $a(PPN)19541781X 035 $a(EXLCZ)993360000000465076 100 $a20070912h20082008 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aClassical function theory, operator dilation theory, and machine computation on multiply-connected domains /$fJim Agler, John Harland, Benjamin J. Raphael 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2008] 210 4$dİ2008 215 $a1 online resource (176 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 892 300 $a"Volume 191, number 892 (second of 5 numbers)." 311 $a0-8218-4046-0 320 $aIncludes bibliographical references (pages 157-159). 327 $a""Contents""; ""Preface""; ""Chapter 1. Generalizations of the Herglotz Representation Theorem, von Neumann's Inequality and the Sz.-Nagy Dilation Theorem to Multiply Connected Domains""; ""1.1. Introduction""; ""1.2. Preliminaries""; ""1.3. The First Herglotz Representation""; ""1.4. The Second Herglotz Representation""; ""1.5. The Third Herglotz Representation""; ""1.6. The Herglotz Representations and Operator Theory""; ""1.7. An Application""; ""Chapter 2. The Computational Generation of Counterexamples to the Rational Dilation Conjecture""; ""2.1. Introduction"" 327 $a""2.2. Mathematical Preliminaries""""2.3. Analysis of the Dilation Condition for Nonsingularly Hyperextremal Grammians""; ""2.4. Analysis of Dilation Extremal Grammians""; ""2.5. Algorithms""; ""2.6. A Computational Counterexample""; ""2.7. Plausibility Arguments""; ""Chapter 3. Arbitrary Precision Computations of the Poisson Kernel and Herglotz Kernels on Multiply-Connected Circle Domains""; ""3.1. Introduction""; ""3.2. Computation of the Functions""; ""3.3. Results""; ""Chapter 4. Schwartz Kernels on Multiply Connected Domains""; ""Appendix A. Convergence Results"" 327 $a""Appendix B. Example Inner Product Computation""""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 892. 606 $aGeometric function theory 606 $aOperator theory 606 $aDilation theory (Operator theory) 606 $aFunctional analysis 606 $aAnalytic functions 608 $aElectronic books. 615 0$aGeometric function theory. 615 0$aOperator theory. 615 0$aDilation theory (Operator theory) 615 0$aFunctional analysis. 615 0$aAnalytic functions. 676 $a515/.7 700 $aAgler$b Jim$066830 702 $aHarland$b John$f1959- 702 $aRaphael$b Benjamin J.$f1974- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480393003321 996 $aClassical function theory, operator dilation theory, and machine computation on multiply-connected domains$91989053 997 $aUNINA