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Vector spaces --- 517.1

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Orthogonal polynomials --- Functions, Special --- 517.1

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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.

517.53 --- 515.17 --- Functions of a complex variable --- Analytic spaces --- 515.17 Analytic spaces --- 517.53 Functions of a complex variable --- Functions of several complex variables --- Mathematical analysis --- 517.1 Mathematical analysis --- Congresses --- 517.1 --- Congresses. --- Mathematical analysis - Congresses --- Functions of several complex variables - Congresses

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mathematics --- Mathematical analysis --- Mathematical analysis. --- Advanced calculus --- Analysis (Mathematics) --- 517.1 Mathematical analysis --- Algebra --- Applied Mathematics

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This book provides an up-to-date description of the methods needed to face the existence of solutions to some nonlinear boundary value problems. All important and interesting aspects of the theory of periodic solutions of ordinary differential equations related to the physical and mathematical question of resonance are treated. The author has chosen as a model example the periodic problem for a second order scalar differential equation. In a paedagogical style the author takes the reader step by step from the basics to the most advanced existence results in the field.

Mathematics. --- Differential equations. --- Ordinary Differential Equations. --- Resonance --- Mathematical models. --- Differential Equations. --- 517.91 Differential equations --- Differential equations