Complex Analysis: Several Complex Variables and Connections with PDE Theory and Geometry (Trends in Mathematics) - Hardcover
Book 20 of 89: Trends in Mathematics
Synopsis
Several Complex Variables is a beautiful example of a ?eld requiring a wide rangeoftechniquescoming fromdiverseareasin Mathematics.Inthe lastdecades, many major breakthroughs depended in particular on methods coming from P- tial Di?erential Equations and Di?erential and Algebraic Geometry. In turn, S- eralComplexVariablesprovidedresultsandinsightswhichhavebeenoffundam- tal importance to these ?elds. This is in particular exempli?ed by the subject of Cauchy-Riemanngeometry,whichconcernsitselfbothwiththetangentialCauchy- Riemannequationsandtheuniquemixtureofrealandcomplexgeometrythatreal objects in a complex space enjoy. CR geometry blends techniques from algebraic geometry, contact geometry, complex analysis and PDEs; as a unique meeting point for some of these subjects, it shows evidence of the possible synergies of a fusion of the techniques from these ?elds. The interplay between PDE and Complex Analysis has its roots in Hans Lewy's famous example of a locally non solvable PDE. More recent work on PDE has been similarly inspired by examples from CR geometry. The application of analytic techniques in algebraic geometry has a long history; especially in recent - years, the analysis of the ?-operator has been a crucial tool in this ?eld. The - ?-operator remains one of the most important examples of a partial di?erential operator for which regularity of solutions under boundary constraints have been extensively studied. In that respect, CR geometry as well as algebraic geometry have helped to understand the subtle aspects of the problem, which is still at the heart of current research.
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This is a reference book for academics working in the fields of several complex variables, PDE theory and geometry. The book collects articles on most recent developments in these fields with special emphasis on interactions between them. It includes introductory and expository presentations of the relevant tools, techniques and objects for graduate and PhD students with a corresponding specialization. The volume comprises contributions of leading experts in the field written in a comprehensive and accessible style. Contributors: D. Barlet, S. Berhanu, A. Bove, D.W. Catlin, J.P. D’Angelo, M. Derridj, F. Forstnerič, S. Fu, K. Gansberger, P. Guan, F. Haslinger, B. Helffer, J. Hounie, N. Hungerbühler, F. Lárusson, Ch. Laurent-Thiébaut, L. Lempert, H.-M. Maire, G.A. Mendoza, A. Meziani, N. Mok, M. Mughetti L. Ni, M.-C. Shaw, D.S. Tartakoff, D. Zaitsev
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Complex Analysis
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Birkhäuser Basel Mai 2010, 2010
ISBN 10: 3034600089
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is a reference book for academics working in the fields of several complex variables, PDE theory and geometry. The book collects articles on most recent developments in these fields with special emphasis on interactions between them. It includes introductory and expository presentations of the relevant tools, techniques and objects for graduate and PhD students with a corresponding specialization. The volume comprises contributions of leading experts in the field written in a comprehensive and accessible style.Contributors: D. Barlet, S. Berhanu, A. Bove, D.W. Catlin, J.P. D'Angelo, M. Derridj, F. Forstneric, S. Fu, K. Gansberger, P. Guan, F. Haslinger, B. Helffer, J. Hounie, N. Hungerbühler, F. Lárusson, Ch. Laurent-Thiébaut, L. Lempert, H.-M. Maire, G.A. Mendoza, A. Meziani, N. Mok, M. MughettiL. Ni, M.-C. Shaw, D.S. Tartakoff, D. Zaitsev 360 pp. Englisch. Seller Inventory # 9783034600088
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Complex Analysis
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Articles are written in a comprehensive and accessible style by leading experts in the fieldEmphasis on interactions of complex analysis with PDE theory and geometryIncludes most recent developments in the field of analysis in several compl. Seller Inventory # 4317821
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Complex Analysis
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Condition: Sehr gut. Zustand: Sehr gut | Seiten: 360 | Sprache: Englisch | Produktart: Bücher | Several Complex Variables is a beautiful example of a ?eld requiring a wide rangeoftechniquescoming fromdiverseareasin Mathematics.Inthe lastdecades, many major breakthroughs depended in particular on methods coming from P- tial Di?erential Equations and Di?erential and Algebraic Geometry. In turn, S- eralComplexVariablesprovidedresultsandinsightswhichhavebeenoffundam- tal importance to these ?elds. This is in particular exempli?ed by the subject of Cauchy-Riemanngeometry,whichconcernsitselfbothwiththetangentialCauchy- Riemannequationsandtheuniquemixtureofrealandcomplexgeometryt hatreal objects in a complex space enjoy. CR geometry blends techniques from algebraic geometry, contact geometry, complex analysis and PDEs; as a unique meeting point for some of these subjects, it shows evidence of the possible synergies of a fusion of the techniques from these ?elds. The interplay between PDE and Complex Analysis has its roots in Hans Lewy¿s famous example of a locally non solvable PDE. More recent work on PDE has been similarly inspired by examples from CR geometry. The application of analytic techniques in algebraic geometry has a long history; especially in recent ¯ years, the analysis of the ?-operator has been a crucial tool in this ?eld. The ¯ ?-operator remains one of the most important examples of a partial di?erential operator for which regularity of solutions under boundary constraints have been extensively studied. In that respect, CR geometry as well as algebraic geometry have helped to understand the subtle aspects of the problem, which is still at the heart of current research. Seller Inventory # 5925012/12
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Complex Analysis: Several Complex Variables and Connections with PDE Theory and Geometry (Trends in Mathematics)
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Complex Analysis
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Buch. Condition: Neu. Complex Analysis | Peter Ebenfelt (u. a.) | Buch | xx | Englisch | 2010 | Birkhäuser | EAN 9783034600088 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 101468092
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Complex Analysis
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Buch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Oblique Polar Lines of X |f|2 |g|2 .- On Involutive Systems of First-order Nonlinear Partial Differential Equations.- Gevrey Hypoellipticity for an Interesting Variant of Kohn's Operator.- Subelliptic Estimates.- Invariant CR Mappings.- On the Subellipticity of Some Hypoelliptic Quasihomogeneous Systems of Complex Vector Fields.- Invariance of the Parametric Oka Property.- Positivity of the -Neumann Laplacian.- Compactness Estimates for the -Neumann Problem in Weighted L 2-spaces.- Remarks on the Homogeneous Complex Monge-Ampère Equation.- A Radó Theorem for Locally Solvable Structures of Co-rank One.- Applications of a Parametric Oka Principle for Liftings.- Stability of the Vanishing of the -cohomoloy Under Small Horizontal Perturbations of the CR Structure in Compact Abstract q-concave CR Manifolds.- Coherent Sheaves and Cohesive Sheaves.- Characteristic Classes of the Boundary of a Complex b-manifold.- Solvability of Planar Complex Vector Fields with Applications to Deformation of Surfaces.- On the Zariski Closure of a Germ of Totally Geodesic Complex Submanifold on a Subvariety of a Complex Hyperbolic Space Form of Finite Volume.- The Large Time Asymptotics of the Entropy.- The Closed Range Property for on Domains with Pseudoconcave Boundary.- New Normal Forms for Levi-nondegenerate Hypersurfaces.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 360 pp. Englisch. Seller Inventory # 9783034600088
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is a reference book for academics working in the fields of several complex variables, PDE theory and geometry. The book collects articles on most recent developments in these fields with special emphasis on interactions between them. It includes introductory and expository presentations of the relevant tools, techniques and objects for graduate and PhD students with a corresponding specialization. The volume comprises contributions of leading experts in the field written in a comprehensive and accessible style.Contributors: D. Barlet, S. Berhanu, A. Bove, D.W. Catlin, J.P. D'Angelo, M. Derridj, F. Forstneric, S. Fu, K. Gansberger, P. Guan, F. Haslinger, B. Helffer, J. Hounie, N. Hungerbühler, F. Lárusson, Ch. Laurent-Thiébaut, L. Lempert, H.-M. Maire, G.A. Mendoza, A. Meziani, N. Mok, M. MughettiL. Ni, M.-C. Shaw, D.S. Tartakoff, D. Zaitsev. Seller Inventory # 9783034600088
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Complex Analysis: Several Complex Variables and Connections with PDE Theory and Geometry (Trends in Mathematics)
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Complex Analysis: Several Complex Variables and Connections with PDE Theory and Geometry (Trends in Mathematics)
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