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The role of the spectrum in the cyclic behavior of composition operators / / Eva A. Gallardo-Gutiérrez, Alfonso Montes-Rodríguez
| The role of the spectrum in the cyclic behavior of composition operators / / Eva A. Gallardo-Gutiérrez, Alfonso Montes-Rodríguez |
| Autore | Gallardo-Gutiérrez Eva A. <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina |
510 s
515/.7246 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Function spaces
Linear operators Functions of complex variables Hypergeometric functions |
| ISBN | 1-4704-0389-7 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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""
""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"" ""A Paley-Wiener Theorem for D[sub(Ï€)]""""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"" ""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"" |
| Record Nr. | UNINA-9910788745603321 |
Gallardo-Gutiérrez Eva A. <1973->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2004] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The role of the spectrum in the cyclic behavior of composition operators / / Eva A. Gallardo-Gutiérrez, Alfonso Montes-Rodríguez
| The role of the spectrum in the cyclic behavior of composition operators / / Eva A. Gallardo-Gutiérrez, Alfonso Montes-Rodríguez |
| Autore | Gallardo-Gutiérrez Eva A. <1973-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2004] |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina |
510 s
515/.7246 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Function spaces
Linear operators Functions of complex variables Hypergeometric functions |
| ISBN | 1-4704-0389-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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""
""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"" ""A Paley-Wiener Theorem for D[sub(Ï€)]""""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"" ""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"" |
| Record Nr. | UNINA-9910807038803321 |
|
Gallardo-Gutiérrez Eva A. <1973->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2004] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
