Modern Methods in Complex Analysis (eBook)

The Princeton Conference in Honor of Gunning and Kohn

Thomas Bloom, David W. Catlin, John P. D'Angelo, Yum-Tong Siu (Herausgeber)

eBook Download: PDF

2016
Princeton University Press (Verlag)
978-1-4008-8257-1 (ISBN)

Infos

Thomas Bloom is Professor of Mathematics at the University of Toronto. David W. Catlin is Professor of Mathematics at Purdue University. John P. D'Angelo is Professor of Mathematics at the University of Illinois, Urbana. Yum-Tong Siu is William Elwood Byerly Professor of Mathematics at Harvard University.

---

The fifteen articles composing this volume focus on recent developments in complex analysis. Written by well-known researchers in complex analysis and related fields, they cover a wide spectrum of research using the methods of partial differential equations as well as differential and algebraic geometry. The topics include invariants of manifolds, the complex Neumann problem, complex dynamics, Ricci flows, the Abel-Radon transforms, the action of the Ricci curvature operator, locally symmetric manifolds, the maximum principle, very ampleness criterion, integrability of elliptic systems, and contact geometry. Among the contributions are survey articles, which are especially suitable for readers looking for a comprehensive, well-presented introduction to the most recent important developments in the field. The contributors are R. Bott, M. Christ, J. P. D'Angelo, P. Eyssidieux, C. Fefferman, J. E. Fornaess, H. Grauert, R. S. Hamilton, G. M. Henkin, N. Mok, A. M. Nadel, L. Nirenberg, N. Sibony, Y.-T. Siu, F. Treves, and S. M. Webster.

Produkt-Details

• Erscheint lt. Verlag: 2.3.2016
• Reihe/Serie: Annals of Mathematics Studies
• Reihe/Serie: Annals of Mathematics Studies
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: Abelian surface • Abel's theorem • analytic function • Analytic manifold • asymptotic expansion • Automorphic form • Big O notation • Boundary value problem • Calculation • Cauchy–Riemann equations • Characteristic Polynomial • Codimension • cohomology • Commutative algebra • commutative property • commutator • Compactification (mathematics) • Complex Analysis • Complex-analytic variety • Complex dimension • complexification • complex manifold • complex number • Computation • Conceptual Framework • Contact Geometry • contingency plan • CR manifold • Curvature • Decision-Making • Decision Theory • Degeneracy (mathematics) • Degenerate bilinear form • Determinant • Differential Geometry • Differential operator • Dimension • Disk (mathematics) • Divergence Theorem • Eigenvalues and Eigenvectors • Elaboration • estimation • existential quantification • Explanation • Explicit formulae (L-function) • First Moroccan Crisis • Formal power series • functional equation • Gauss–Bonnet theorem • Gerald Folland • Hodge Theory • holomorphic function • hypersurface • hypothesis • Identity element • Illustration • inference • Instance (computer science) • Integer • Intention • isomorphism class • Jacobian variety • Julia set • Lagrangian (field theory) • manifold • mathematician • matrix function • Measurement • modular form • Novikov conjecture • Oxford University Press • phenomenon • polynomial • Potential Theory • Prediction • Projection (linear algebra) • pseudo-differential operator • Pseudogroup • quadratic form • Quantity • quantum field theory • Rational number • Riemann hypothesis • Riemann surface • Science Fiction • scientific notation • Scientist • Sheaf (mathematics) • Squeeze theorem • submanifold • Symplectic Geometry • Theorem • theory • Time Series • Topology • Trade-off • Vector field • World War • World War I • World War II
• ISBN-10: 1-4008-8257-5 / 1400882575
• ISBN-13: 978-1-4008-8257-1 / 9781400882571