## Preface (2008)

### BibTeX

@MISC{Contents08preface,

author = {Zoltán Istenes Ii Contents and Henri Habrias},

title = {Preface},

year = {2008}

}

### OpenURL

### Abstract

v

### Citations

333 | lectures on theta - Mumford, “Tata - 1984 |

195 |
The Theory of Functions
- Titchmarsh
- 1939
(Show Context)
Citation Context ... topics have been covered in excellent textbooks as well as classic treatise. This book does not try to compete with the works of the old masters such as Ahlfors [1], Hurwitz–Courant [20], Titchmarsh =-=[39]-=-, Ahlfors–Sario [2], Nevanlinna [34], Weyl [41]. Rather, it is intended as a fairly detailed yet fast paced guide through those parts of the theory of one complex variable that seem most useful in oth... |

151 | Jacobi Operators and Completely Integrable Nonlinear Lattices - Teschl - 2000 |

131 |
A Course in Abstract Harmonic Analysis
- Folland
- 1995
(Show Context)
Citation Context ...-algebras and group algebras are not treated for lack of free energy. For H*-algebras we refer the reader to Gaal [22, Chapter I, § 9], and for group algebras (abstract harmonic analysis), to Folland =-=[60]-=-. We have taken a minimalistic approach, in that we develop only so much of the material as is necessary for a good grasp of the basic theory. Also, we have avoided material on general Banach algebras... |

102 | Harmonic analysis on semigroups. Theory of positive definite and related functions - Berg, Christensen, et al. - 1984 |

85 | Introduction to Riemann surfaces - SPRINGER |

84 | Unbounded Operator Algebras and Representation Theory. in: Operator Theory - Schmüdgen - 1990 |

70 | An Introduction to Abstract Harmonic Analysis - LOOMIS |

65 | The Theory of the Riemann Zeta-function, Second Edition revised by D.R - Titchmarsh - 1988 |

38 |
Fuchsian groups. Chicago Lectures in Mathematics
- Katok
- 1992
(Show Context)
Citation Context ...of the sphere, or how to determine all finite subgroups of PSL(2, C). For some answers see Problem 4.9 as well as [22]. A whole topic onto itself are the Fuchsian and Kleinian groups, see for example =-=[25]-=-. These groups are of crucial importance for the uniformization theory of Riemann surfaces in the non-simply connected case. 4. Integration We now develop our complex calculus further. The following d... |

29 |
Algebra Revised Third Edition. Graduate Texts in Mathematics
- Lang
- 2002
(Show Context)
Citation Context ...= β0 − β1 + β2 If M is orientable (as in the case of a Riemann surface), then it is easy to see that β0 = β2 = 1. Thus, β1 = 2g where g is the genus. 2. Algebra For the material here, see for example =-=[28]-=-. Given two relatively prime polynomials P,Q ∈ C[w,z], there exist A,B ∈ C[w,z] such that A(w,z)P(w,z) + B(w,z)Q(w,z) = R(z) ∈ C[z] is a nonzero polynomial in z alone; it is called the resultant of P ... |

19 | Elliptic Curves: Function Theory, Geometry, Arithmetic - McKean, Moll - 1997 |

12 |
From Calculus to Cohomology: de Rham Cohomology and Characteristic Classes
- Madsen, Tornehave
- 1997
(Show Context)
Citation Context ...cycle. b 1 b 2 a 1 a 2 merge Figure 13.1. A homology basis The homology groups of M, denoted by H k (M; Z) are 13.2. Differential forms. For the material here, see do Carmo [8], and Madsen, Tornehave =-=[30]-=-. Every differentiable manifold M carries vector fields (defined as smooth sections of the tangent bundle) and differential 1-forms (defined as smooth sections of the co-tangent bundle). In local coor... |

10 | Compact Riemann surfaces - Narasimhan - 1992 |

8 | Elliptic functions. With an appendix by - Lang - 1987 |

6 | Complex analysis. Fourth edition. Graduate Texts - Lang - 1999 |

3 |
Die Grundlehren der Mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, vol
- Nevanlinna, Uniformisierung
- 1953
(Show Context)
Citation Context ...nt textbooks as well as classic treatise. This book does not try to compete with the works of the old masters such as Ahlfors [1], Hurwitz–Courant [20], Titchmarsh [39], Ahlfors–Sario [2], Nevanlinna =-=[34]-=-, Weyl [41]. Rather, it is intended as a fairly detailed yet fast paced guide through those parts of the theory of one complex variable that seem most useful in other parts of mathematics. There is no... |

1 | Théories spectrales, Chapitres 1 et 2. Éléments de Mathématique, Réimpression inchangée de l’édition originale de 1967 - Bourbaki - 2007 |

1 | Normed Algebras. Third American edition, translated from the second Russian edition, Wolters-Noordhoff - Naĭmark - 1972 |

1 | Normierte Algebren. Translation of the second Russian edition - Neumark |

1 |
Die Idee der Riemannschen Fläche. Fünfte Auflage
- Weyl
- 1974
(Show Context)
Citation Context ...s as well as classic treatise. This book does not try to compete with the works of the old masters such as Ahlfors [1], Hurwitz–Courant [20], Titchmarsh [39], Ahlfors–Sario [2], Nevanlinna [34], Weyl =-=[41]-=-. Rather, it is intended as a fairly detailed yet fast paced guide through those parts of the theory of one complex variable that seem most useful in other parts of mathematics. There is no question t... |