LEADER 04067nam 2200649 450 001 9910478894103321 005 20170822144227.0 010 $a1-4704-0389-7 035 $a(CKB)3360000000464975 035 $a(EBL)3114472 035 $a(SSID)ssj0000973887 035 $a(PQKBManifestationID)11948273 035 $a(PQKBTitleCode)TC0000973887 035 $a(PQKBWorkID)10988937 035 $a(PQKB)10263302 035 $a(MiAaPQ)EBC3114472 035 $a(PPN)195416775 035 $a(EXLCZ)993360000000464975 100 $a20030908h20042004 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe role of the spectrum in the cyclic behavior of composition operators /$fEva A. Gallardo-Gutie?rrez, Alfonso Montes-Rodri?guez 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2004] 210 4$dİ2004 215 $a1 online resource (98 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 791 300 $a"Volume 167, number 791 (first of 5 numbers)." 311 $a0-8218-3432-0 320 $aIncludes bibliographical references (pages 79-81). 327 $a""Contents""; ""Preface""; ""Chapter 1. Introduction and Preliminaries""; ""Weighted Hardy spaces""; ""The Dirichlet space""; ""The Hardy space""; ""Functional Hilbert spaces""; ""Composition operators""; ""Weighted Dirichlet spaces""; ""Equivalent norms on weighted Dirichlet spaces""; ""Linear fractional maps""; ""Iterates""; ""The Comparison Principle""; ""Main results""; ""Table I""; ""Table II""; ""Acknowledgment""; ""Chapter 2. Linear Fractional Maps with an Interior Fixed Point""; ""Non-elliptic linear fractional maps with an exterior fixed point""; ""Elliptic automorphism"" 327 $a""Interior and boundary fixed point""""Hypercyclicity""; ""The hyperbolic automorphism""; ""The Hypercyclic Criterion""; ""A Beurling type theorem""; ""The Inner Product Criterion""; ""Invariant subspaces of finite codimension""; ""Chapter 3. Non Elliptic Automorphisms""; ""Hypercyclicity""; ""The parabolic automorphism""; ""The hyperbolic automorphism""; ""The failure of the spectrum""; ""The eigenfunctions of C[sub([omitted])] [sub([omitted])] with a parabolic automorphism""; ""Cyclicity""; ""The Dirichlet space of the upper half plane""; ""The Hardy space of the upper half plane"" 327 $a""A Paley-Wiener Theorem for D[sub(I??)]""""The parabolic automorphism""; ""The hyperbolic automorphism""; ""Chapter 4. The Parabolic Non Automorphism""; ""Cyclicity""; ""Zeros of weighted Dirichlet functions""; ""Non hypercyclicity""; ""An appetizer""; ""The spectrum of C[sub([omitted])]""; ""The eigenfunctions form a spanning set""; ""Renorming S[sub(v)]""; ""Isometric functional Hilbert spaces""; ""A complete orthogonal system of L[sup(2)] (R[sup(+)],dt/t)""; ""The extension of the isometries""; ""The Laguerre polynomials""; ""Chapter 5. Supercyclic Linear Fractional Composition Operators"" 327 $a""The easy part""""The parabolic non-automorphism""; ""The Angle Criterion""; ""The adjoint of C[sub([omitted])]""; ""A three term recurrence formula""; ""An integration formula""; ""Endnotes""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 791. 606 $aFunction spaces 606 $aLinear operators 606 $aFunctions of complex variables 606 $aHypergeometric functions 608 $aElectronic books. 615 0$aFunction spaces. 615 0$aLinear operators. 615 0$aFunctions of complex variables. 615 0$aHypergeometric functions. 676 $a510 s 676 $a515/.7246 700 $aGallardo-Gutier?rez$b Eva A.$f1973-$0857524 702 $aMontes-Rodri?guez$b Alfonso$f1961- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910478894103321 996 $aThe role of the spectrum in the cyclic behavior of composition operators$91914765 997 $aUNINA