LEADER 01420cam0-22005291i-450 001 990002647560403321 005 20220506133746.0 035 $a000264756 035 $aFED01000264756 035 $a(Aleph)000264756FED01 035 $a000264756 100 $a20030910d1971----km-y0itay50------ba 101 1 $aita$ceng 102 $aIT 105 $ay-------001yy 200 1 $a<>mondo dopo Keynes$fEric Roll 210 $aBologna$cil Mulino$d1971 215 $a317 p.$d22 cm 225 1 $aSaggi$v104 454 0$1001000323575 610 0 $aPolitica economica post-keynesiana 610 0 $aEconomia$aTeoria 676 $a334 676 $a330.156 700 1$aRoll,$bEric$0103311 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990002647560403321 952 $aISVE B1-B3.49$fDECTS 952 $a9-0-26-TI$b2979$fECA 952 $aXV E132$b999(f-18)$fDTE 952 $aXV F 81$b2742(E-32)$fDTE 952 $a334 ROL 1$bIST.ST.FIL. 4278$fFLFBC 952 $aXI EE R 3(1)$bDip.Fil.2722$fDFD 952 $aSE 100.02.14-$b2430$fDECSE 952 $aSE 030.08.11-$b3334$fDECSE 952 $aCOLLEZ. 75 (104)$b6539$fFSPBC 952 $a330.156 ROL 1$bBIBL. 46733$fFLFBC 959 $aDECTS 959 $aECA 959 $aDFD 959 $aDTE 959 $aDECSE 959 $aFSPBC 959 $aFLFBC 996 $aMondo dopo Keynes$9431911 997 $aUNINA LEADER 04069nam 22006135 450 001 9910484245203321 005 20251002143428.0 010 $a3-030-38312-1 024 7 $a10.1007/978-3-030-38312-1 035 $a(CKB)4100000010121993 035 $a(DE-He213)978-3-030-38312-1 035 $a(MiAaPQ)EBC6031647 035 $a(PPN)242846343 035 $a(EXLCZ)994100000010121993 100 $a20200127d2020 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aQuaternionic de Branges Spaces and Characteristic Operator Function /$fby Daniel Alpay, Fabrizio Colombo, Irene Sabadini 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (X, 116 p. 1 illus.) 225 1 $aSpringerBriefs in Mathematics,$x2191-8201 311 08$a3-030-38311-3 320 $aIncludes bibliographical references and index. 327 $aPreliminaries -- Quaternions and matrices -- Slice hyperholomorphic functions -- Rational functions -- Operator models -- Structure theorems for H(A;B) spaces -- J-contractive functions -- The characteristic operator function -- L() spaces and linear fractional transformations -- Canonical differential systems. 330 $aThis work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense) with some specific reproducing kernels, in the unit ball of quaternions or in the half space of quaternions with positive real parts. The spaces under consideration will be Hilbert or Pontryagin or Krein spaces. These spaces are closely related to operator models that are also discussed. The focus of this book is the notion of characteristic operator function of a bounded linear operator A with finite real part, and we address several questions like the study of J-contractive functions, where J is self-adjoint and unitary, and we also treat the inverse problem, namely to characterize which J-contractive functions are characteristic operator functions of an operator. In particular, we prove the counterpart of Potapov's factorization theorem in this framework. Besides other topics, we consider canonical differential equations in the setting of slice hyperholomorphic functions and we define the lossless inverse scattering problem. We also consider the inverse scattering problem associated with canonical differential equations. These equations provide a convenient unifying framework to discuss a number of questions pertaining, for example, to inverse scattering, non-linear partial differential equations and are studied in the last section of this book. 410 0$aSpringerBriefs in Mathematics,$x2191-8201 606 $aFunctional analysis 606 $aOperator theory 606 $aFunctions of complex variables 606 $aFunctional Analysis 606 $aOperator Theory 606 $aFunctions of a Complex Variable 615 0$aFunctional analysis. 615 0$aOperator theory. 615 0$aFunctions of complex variables. 615 14$aFunctional Analysis. 615 24$aOperator Theory. 615 24$aFunctions of a Complex Variable. 676 $a512.5 676 $a512.5 700 $aAlpay$b Daniel$4aut$4http://id.loc.gov/vocabulary/relators/aut$054298 702 $aColombo$b Fabrizio$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aSabadini$b Irene$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484245203321 996 $aQuaternionic de Branges Spaces and Characteristic Operator Function$92547779 997 $aUNINA