LEADER 03823nam  2200625   450 
001 9910819084503321
005 20170822144504.0
010   $a1-4704-0620-9
035   $a(CKB)3360000000465187
035   $a(EBL)3114273
035   $a(SSID)ssj0000889016
035   $a(PQKBManifestationID)11453163
035   $a(PQKBTitleCode)TC0000889016
035   $a(PQKBWorkID)10876002
035   $a(PQKB)11488566
035   $a(MiAaPQ)EBC3114273
035   $a(RPAM)16824481
035   $a(PPN)195418921
035   $a(EXLCZ)993360000000465187
100   $a20150417h20112011  uy             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aIterated function systems, moments, and transformations of infinite matrices /$fPalle E.T. Jorgensen, Keri A. Kornelson, Karen L. Shuman
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2011.
210  4$d©2011
215   $a1 online resource (105 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 1003
300   $a"September 2011, volume 213, number 1003 (fourth of 5 numbers)."
311   $a0-8218-5248-5 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""Preface""; ""Chapter 1. Notation""; ""1.1. Hilbert space notation""; ""1.2. Unbounded operators""; ""1.3. Multi-index notation""; ""1.4. Moments and moment matrices""; ""1.5. Computations with infinite matrices""; ""1.6. Inverses of infinite matrices""; ""Chapter 2. The moment problem""; ""2.1. The moment problem M = M()""; ""2.2. A Parthasarathy-Kolmogorov approach to the moment problem""; ""2.3. Examples""; ""2.4. Historical notes""; ""Chapter 3. A transformation of moment matrices: the affine case""; ""3.1. Affine maps""
327   $a""3.2. IFSs and fixed points of the Hutchinson operator""""3.3. Preserving Hankel matrix structure""; ""Chapter 4. Moment matrix transformation: measurable maps""; ""4.1. Encoding matrix A for ""; ""4.2. Approximation of A with finite matrices""; ""Chapter 5. The Kato-Friedrichs operator""; ""5.1. The quadratic form QM""; ""5.2. The closability of QM""; ""5.3. A factorization of the Kato-Friedrichs operator""; ""5.4. Kato connection to A matrix""; ""5.5. Examples""; ""Chapter 6. The integral operator of a moment matrix""; ""6.1. The Hilbert matrix""
327   $a""6.2. Integral operator for a measure supported on [-1,1]""""Chapter 7. Boundedness and spectral properties""; ""7.1. Bounded Kato operators""; ""7.2. Projection-valued measures""; ""7.3. Spectrum of the Kato operator""; ""7.4. Rank of measures""; ""7.5. Examples""; ""Chapter 8. The moment problem revisited""; ""8.1. The shift operator and three incarnations of symmetry""; ""8.2. Self-adjoint extensions of a shift operator""; ""8.3. Self-adjoint extensions and the moment problem""; ""8.4. Jacobi representations of matrices""
327   $a""8.5. The triple recursion relation and extensions to higher dimensions""""8.6. Concrete Jacobi matrices""; ""Acknowledgements""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vNumber 1003.
606   $aInfinite matrices
606   $aTransformations (Mathematics)
606   $aIterative methods (Mathematics)
615  0$aInfinite matrices.
615  0$aTransformations (Mathematics)
615  0$aIterative methods (Mathematics)
676   $a512.9/434  
700   $aJørgensen$b Palle E. T.$f1947-$01663639
702   $aKornelson$b Keri A.$f1967-
702   $aShuman$b Karen L.$f1973-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910819084503321
996   $aIterated function systems, moments, and transformations of infinite matrices$94108368
997   $aUNINA