ISBN: 9783322916105

I The Bochner-Martinelli-Koppelman Formula. - §1 Forms on Product Manifolds. - §2 The Complex Laplacian. - §4 The Bochner-Martinelli-Koppelman Formula. - §5 Types of Kernels and Regularit… Mehr…

I The Bochner-Martinelli-Koppelman Formula. - §1 Forms on Product Manifolds. - §2 The Complex Laplacian. - §4 The Bochner-Martinelli-Koppelman Formula. - §5 Types of Kernels and Regularity Properties. The Nile on eBay   FREE SHIPPING UK WIDE   The Cauchy-Riemann Complex by Ingo Lieb, Joachim Michel Integral representation methods serve a twofold purpose: 1° they yield regularity results not easily obtained by other methods and 2°, along the way, they lead to a fairly simple development of parts of the classical theory of several complex variables. FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description This book presents complex analysis of several variables from the point of view of the Cauchy-Riemann equations and integral representations. A more detailed description of our methods and main results can be found in the introduction. Here we only make some remarks on our aims and on the required background knowledge. Integral representation methods serve a twofold purpose: 1° they yield regularity results not easily obtained by other methods and 2°, along the way, they lead to a fairly simple development of parts of the classical theory of several complex variables. We try to reach both aims. Thus, the first three to four chapters, if complemented by an elementary chapter on holomorphic functions, can be used by a lecturer as an introductory course to com­ plex analysis. They contain standard applications of the Bochner-Martinelli-Koppelman integral representation, a complete presentation of Cauchy-Fantappie forms giving also the numerical constants of the theory, and a direct study of the Cauchy-Riemann com­ plex on strictly pseudoconvex domains leading, among other things, to a rather elementary solution of Levi's problem in complex number space en. Chapter IV carries the theory from domains in en to strictly pseudoconvex subdomains of arbitrary - not necessarily Stein - manifolds. We develop this theory taking as a model classical Hodge theory on compact Riemannian manifolds; the relation between a parametrix for the real Laplacian and the generalised Bochner-Martinelli-Koppelman formula is crucial for the success of the method. Back Cover The method of integral representations is developed in order to establish 1. classical fundamental results of complex analysis both elementary and advanced, 2. subtle existence and regularity theorems for the Cauchy-Riemann equations on complex manifolds. These results are then applied to important function theoretic questions. The book can be used for advanced courses and seminars at the graduate level; it contains to a large extent material which has not yet been covered in text books. Author Biography Prof. Dr. Ingo Lieb ist Professor für Mathematik an der Universität Bonn. Er ist Autor der beiden Bücher "Funktionentheorie" und "Ausgewählte Kapitel aus der Funktionentheorie" in der Reihe vieweg studium/Aufbaukurs Mathematik.Prof. Dr. Joachim Michel ist Professor für Mathematik am "Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville" (L.M.P.A.) in Calais, Frankreich. Table of Contents I The Bochner-Martinelli-Koppelman Formula.- §1 Forms on Product Manifolds.- §2 The Complex Laplacian.- §3 The Fundamental Solution.- §4 The Bochner-Martinelli-Koppelman Formula.- §5 Types of Kernels and Regularity Properties.- §6 Derivatives of the BMK Transform.- §7 Applications of the BMK Formula.- §8 Cauchy-Riemann Functions.- §9 The Bochner-Martinelli Transform for Currents.- §10 Regularity Properties of Isotropic Operators.- §11 Notes.- II Cauchy-Fantappiè Forms.- §1 The Koppelman Formula.- §2 A Generalisation of the Bochner-Martinelli-Koppelman Formula.- §3 Notes.- III Strictly Pseudoconvex Domains in ?n.- §1 Strict Pseudoconvexity.- §2 The Levi Polynomial and Holomorphic Support Functions.- §3 The Basic Homotopy Formula for the Ball.- §4 The Basic Integral Representation.- §5 Admissible Kernels and Lp-Estimates.- §6 Levi's Problem and Vanishing of Cohomology.- §7 The Henkin-Ramírez Formula.- §8 Convex Domains of Finite Type.- §9 Notes.- IV Strictly Pseudoconvex Manifolds.- §1 The Real Laplacian.- §2 Generalised Isotropic Operators.- §3 The Parametrix.- §4 Harmonic Forms and Finiteness Theorems on Compact Manifolds.- §5 Basic Integral Representation on Hermitian Manifolds.- §6 The Levi Problem on Strictly Pseudoconvex Manifolds.- §7 Vanishing of Dolbeault Cohomology Groups.- §8 Notes.- V The a-Neumann Problem.- §1 Operators on Hilbert Spaces.- §2 Hilbert Spaces of Differential Forms.- §3 The Generalised Cauchy Condition.- §4 The Friedrichs-Hörmander Lemma.- §5 The Self-adjointness of the Complex Laplacian and Hörmander's Density Theorem.- §6 The $$ \overline \partial $$-Neumann Problem.- §7 Notes.- VI Integral Representations for the $$ \overline \partial $$-Neumann Problem.- §1 The Basic IntegralRepresentation.- §2 Cancellation of Singularities.- §3 The Bergman Projection.- §4 Z-operators.- §5 The Structure of the Kernels Tq.- §6 Asymptotic Development of the Neumann Operator.- §7 Notes.- VII Regularity Properties of Admissible Operators.- §1 Spaces of Functions and Differential Forms.- §2 Behaviour of Ao-operators on Lp-spaces.- §3 Regularity Properties of A1-operators.- §4 Regularity Properties of E1?2n-operators.- §5 Notes.- VIII Regularity of the $$ \overline \partial $$-Neumann Problem and Applications.- §1 The Basic Hölder Estimate.- §2 The Basic Sobolev Estimate.- §3 The Basic Ck-Estimate.- §4 Dolbeault Cohomology Spaces.- §5 Regularity of the Bergman Projection.- §6 The L1-theory of the $$ \overline \partial $$-Neumann Problem.- §7 Gleason's Problem for Ck-functions.- §8 Stability of Estimates for the $$ \overline \partial $$-Neumann Problem.- §9 Mergelyan's Approximation Theorem with Ck Boundary Values on Hermitian Manifolds.- §10 Notes.- Notations. Promotional Neues aus dem Forschungsgebiet Komplexe Analysis Long Description This book presents complex analysis of several variables from the point of view of the Cauchy-Riemann equations and integral representations. A more detailed description of our methods and main results can be found in the introduction. Here we only make some remarks on our aims and on the required background knowledge. Integral representation methods serve a twofold purpose: 1 Promotional "Headline" Neues aus dem Forschungsgebiet Komplexe Analysis Feature Advanced Methods of Complex Analysis Applied to Classical and New Problems Description for Sales People Integrale Darstellungen von Funktionen und Differentialformen sind ein wichtiges Werkzeug, um quantitative Resultate f Details ISBN3322916103 Author Joachim Michel Short Title CAUCHY-RIEMANN COMPLEX SOFTCOV Series Aspects of Mathematics Language English ISBN-10 3322916103 ISBN-13 9783322916105 Media Book Format Paperback Series Number 34 DEWEY 515 Pages 362 Year 2012 Publication Date 2012-07-27 Subtitle Integral Formulae and Neumann Problem Country of Publication Germany Translated from German Birth 1939 DOI 10.1007/978-3-322-91608-2 Imprint Springer-Verlag Place of Publication Berlin Illustrations X, 362 p. Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Edition Description Softcover reprint of the original 1st ed. 2002 Alternative 9783528069544 Audience Professional & Vocational We've got thisAt The Nile, if you're looking for it, we've got it.With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! 30 DAY RETURN POLICYNo questions asked, 30 day returns! FREE DELIVERYNo matter where you are in the UK, delivery is free. SECURE PAYMENTPeace of mind by paying through PayPal and eBay Buyer Protection TheNile_Item_ID:137857547; , von Profianbieter, Festpreisangebot, [LT: FixedPrice], ISBN-13: 9783322916105, Book Title: The Cauchy-Riemann Complex, [PU: Teubner, Leipzig]<

2012, ISBN: 9783322916105

Titel: The Cauchy-Riemann Complex, Untertitel: Integral Formulae and Neumann Problem, Einband: Taschenbuch, Autor: Joachim Michel, Verlag: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag, Sp… Mehr…

Titel: The Cauchy-Riemann Complex, Untertitel: Integral Formulae and Neumann Problem, Einband: Taschenbuch, Autor: Joachim Michel, Verlag: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag, Sprache: Englisch, Seiten: 376, Maße: 244x170x21 mm, Gewicht: 648 g, Verkäufer: buch-mimpf, Schlagworte: Analysis Calculus Differenzialgeometrie Geometrie / Differenzialgeometrie Gleichung / Integralgleichung Integralrechnung Integration (mathematisch) / Integralrechnung Differenzialgeometrie / Riemann Riemannsche Geometrie Applications Bochner-Martinelli formula Function Hodge theory Komplexe Analysis Neumann problem Partial Differential Equations calculus equation manifold theorem. Über Uns The Cauchy-Riemann ComplexJoachim Michel Weitere Bücher: Joachim Michel of this publishing house Art Nr.: 3322916103 ISBN 13: 9783322916105 Subtitle: Integral Formulae and Neumann Problem Release year: 2012 Published by: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Edition: Taschenbuch Cover: Taschenbuch Cover Format: 244x170x21 mm Pages: 376 Weight: 648 g Language: Englisch Author: Joachim Michel NEUWARE Alle Artikel werden von uns professionell verpackt, so dass die Beschädigungsgefahr beim Versand minimiert wird. Hinweis: Die hier gezeigte Produktabbildung kann vom tatsächlichen Titelcover abweichen. Wir liefern immer die aktuelle Ausgabe, sofern nichts anderes vermerkt ist. Bitte kontrollieren Sie unbedingt Ihre Lieferanschrift bevor Sie bestellen. Da wir Sie schnellstmöglich beliefern möchten, ist eine Adressänderung eventuell nicht mehr möglich. Description This book presents complex analysis of several variables from the point of view of the Cauchy-Riemann equations and integral representations. A more detailed description of our methods and main results can be found in the introduction. Here we only make some remarks on our aims and on the required background knowledge. Integral representation methods serve a twofold purpose: 1° they yield regularity results not easily obtained by other methods and 2°, along the way, they lead to a fairly simple development of parts of the classical theory of several complex variables. We try to reach both aims. Thus, the first three to four chapters, if complemented by an elementary chapter on holomorphic functions, can be used by a lecturer as an introductory course to com­ plex analysis. They contain standard applications of the Bochner-Martinelli-Koppelman integral representation, a complete presentation of Cauchy-Fantappie forms giving also the numerical constants of the theory, and a direct study of the Cauchy-Riemann com­ plex on strictly pseudoconvex domains leading, among other things, to a rather elementary solution of Levi's problem in complex number space en. Chapter IV carries the theory from domains in en to strictly pseudoconvex subdomains of arbitrary - not necessarily Stein - manifolds. We develop this theory taking as a model classical Hodge theory on compact Riemannian manifolds the relation between a parametrix for the real Laplacian and the generalised Bochner-Martinelli-Koppelman formula is crucial for the success of the method. Information of Author Prof. Dr. Ingo Lieb ist Professor für Mathematik an der Universität Bonn. Er ist Autor der beiden Bücher "Funktionentheorie" und "Ausgewählte Kapitel aus der Funktionentheorie" in der Reihe vieweg studium/Aufbaukurs Mathematik.Prof. Dr. Joachim Michel ist Professor für Mathematik am "Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville" (L.M.P.A.) in Calais, Frankreich. Keywords Analysis Calculus Differenzialgeometrie Geometrie / Differenzialgeometrie Gleichung / Integralgleichung Integralrechnung Integration (mathematisch) / Integralrechnung Differenzialgeometrie / Riemann Riemannsche Geometrie Applications Bochner-Martinelli formula Function Hodge theory Komplexe Analysis Neumann problem Partial Differential Equations calculus equation manifold theorem Kurzbeschreibung Titel: The Cauchy-Riemann Complex, Untertitel: Integral Formulae and Neumann Problem, Einband: Taschenbuch, Autor: Joachim Michel, Verlag: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag, Sprache: Englisch, Seiten: 376, Maße: 244x170x21 mm, Gewicht: 648 g, Verkäufer: buch-mimpf, Schlagworte: Analysis Calculus Differenzialgeometrie Geometrie / Differenzialgeometrie Gleichung / Integralgleichung Integralrechnung Integration (mathematisch) / Integralrechnung Differenzialgeometrie / Riemann Riemannsche Geometrie Applications Bochner-Martinelli formula Function Hodge theory Komplexe Analysis Neumann problem Partial Differential Equations calculus equation manifold theorem Powered by INFORIUS , von Profianbieter, Festpreisangebot, [LT: FixedPrice], Marke: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag, Fachbereich: Hardcover/Naturwissenschaften, Medizin, Informatik, Technik/Ma... Publikationstitel: The Cauchy-Riemann Complex, Buchtitel: The Cauchy-Riemann Complex, Film-/Fernseh-Titel: Keine Angabe, Musiktitel: Keine Angabe, Interpret: Keine Angabe, Schlagworte: Analysis Calculus Differenzialgeometrie Geometrie / Differe... Reihe: Aspects of Mathematics, Produktart: Lehrbuch, Format: Taschenbuch, Anzahl der Seiten: X Seiten, Publikationsname: The Cauchy-Riemann Complex, Vieweg+Teubner Verlag, Vieweg & Teubner, 2012<

2012, ISBN: 3322916103

[EAN: 9783322916105], Nieuw boek, [SC: 15.0], [PU: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Jul 2012], ANALYSIS; CALCULUS; DIFFERENZIALGEOMETRIE; GEOMETRIE / GLEICHUNG INTEGRALGLEICHU… Mehr…

[EAN: 9783322916105], Nieuw boek, [SC: 15.0], [PU: Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Jul 2012], ANALYSIS; CALCULUS; DIFFERENZIALGEOMETRIE; GEOMETRIE / GLEICHUNG INTEGRALGLEICHUNG; INTEGRALRECHNUNG; INTEGRATION (MATHEMATISCH) DIFFERENZIALGEOMETRIE RIEMANN; RIEMANNSCHE GEOMETRIE; APPLICATIONS; BOCHNER-MARTINELLI FORMULA; FUNCTION; HODGE THEORY; KOMPLEXE NEUMANN PROBLEM; PARTIAL DIFFERENTIAL EQUATIONS; EQUATION; MANIFOLD; THEOREM, Neuware -This book presents complex analysis of several variables from the point of view of the Cauchy-Riemann equations and integral representations. A more detailed description of our methods and main results can be found in the introduction. Here we only make some remarks on our aims and on the required background knowledge. Integral representation methods serve a twofold purpose: 1° they yield regularity results not easily obtained by other methods and 2°, along the way, they lead to a fairly simple development of parts of the classical theory of several complex variables. We try to reach both aims. Thus, the first three to four chapters, if complemented by an elementary chapter on holomorphic functions, can be used by a lecturer as an introductory course to com plex analysis. They contain standard applications of the Bochner-Martinelli-Koppelman integral representation, a complete presentation of Cauchy-Fantappie forms giving also the numerical constants of the theory, and a direct study of the Cauchy-Riemann com plex on strictly pseudoconvex domains leading, among other things, to a rather elementary solution of Levi's problem in complex number space en. Chapter IV carries the theory from domains in en to strictly pseudoconvex subdomains of arbitrary - not necessarily Stein - manifolds. We develop this theory taking as a model classical Hodge theory on compact Riemannian manifolds; the relation between a parametrix for the real Laplacian and the generalised Bochner-Martinelli-Koppelman formula is crucial for the success of the method.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 376 pp. Englisch, Books<

2012, ISBN: 3322916103

[EAN: 9783322916105], Nieuw boek, [SC: 14.0], [PU: Vieweg+Teubner Verlag], ANALYSIS; CALCULUS; DIFFERENZIALGEOMETRIE; GEOMETRIE / GLEICHUNG INTEGRALGLEICHUNG; INTEGRALRECHNUNG; INTEGRATIO… Mehr…

[EAN: 9783322916105], Nieuw boek, [SC: 14.0], [PU: Vieweg+Teubner Verlag], ANALYSIS; CALCULUS; DIFFERENZIALGEOMETRIE; GEOMETRIE / GLEICHUNG INTEGRALGLEICHUNG; INTEGRALRECHNUNG; INTEGRATION (MATHEMATISCH) DIFFERENZIALGEOMETRIE RIEMANN; RIEMANNSCHE GEOMETRIE; APPLICATIONS; BOCHNER-MARTINELLI FORMULA; HODGE THEORY; KOMPLEXE MANIFOLD; EQUATION; FUNCTION; THEOREM; PARTIAL DIFFERENTIAL EQUATIONS, Druck auf Anfrage Neuware - Printed after ordering - This book presents complex analysis of several variables from the point of view of the Cauchy-Riemann equations and integral representations. A more detailed description of our methods and main results can be found in the introduction. Here we only make some remarks on our aims and on the required background knowledge. Integral representation methods serve a twofold purpose: 1° they yield regularity results not easily obtained by other methods and 2°, along the way, they lead to a fairly simple development of parts of the classical theory of several complex variables. We try to reach both aims. Thus, the first three to four chapters, if complemented by an elementary chapter on holomorphic functions, can be used by a lecturer as an introductory course to com plex analysis. They contain standard applications of the Bochner-Martinelli-Koppelman integral representation, a complete presentation of Cauchy-Fantappie forms giving also the numerical constants of the theory, and a direct study of the Cauchy-Riemann com plex on strictly pseudoconvex domains leading, among other things, to a rather elementary solution of Levi's problem in complex number space en. Chapter IV carries the theory from domains in en to strictly pseudoconvex subdomains of arbitrary - not necessarily Stein - manifolds. We develop this theory taking as a model classical Hodge theory on compact Riemannian manifolds; the relation between a parametrix for the real Laplacian and the generalised Bochner-Martinelli-Koppelman formula is crucial for the success of the method., Books<

2012, ISBN: 3322916103

[EAN: 9783322916105], Neubuch, [SC: 0.0], [PU: Vieweg+Teubner Verlag], ANALYSIS; CALCULUS; DIFFERENZIALGEOMETRIE; GEOMETRIE / GLEICHUNG INTEGRALGLEICHUNG; INTEGRALRECHNUNG; INTEGRATION (M… Mehr…

[EAN: 9783322916105], Neubuch, [SC: 0.0], [PU: Vieweg+Teubner Verlag], ANALYSIS; CALCULUS; DIFFERENZIALGEOMETRIE; GEOMETRIE / GLEICHUNG INTEGRALGLEICHUNG; INTEGRALRECHNUNG; INTEGRATION (MATHEMATISCH) DIFFERENZIALGEOMETRIE RIEMANN; RIEMANNSCHE GEOMETRIE; APPLICATIONS; BOCHNER-MARTINELLI FORMULA; HODGE THEORY; KOMPLEXE MANIFOLD; EQUATION; FUNCTION; THEOREM; PARTIAL DIFFERENTIAL EQUATIONS, Druck auf Anfrage Neuware - Printed after ordering - This book presents complex analysis of several variables from the point of view of the Cauchy-Riemann equations and integral representations. A more detailed description of our methods and main results can be found in the introduction. Here we only make some remarks on our aims and on the required background knowledge. Integral representation methods serve a twofold purpose: 1° they yield regularity results not easily obtained by other methods and 2°, along the way, they lead to a fairly simple development of parts of the classical theory of several complex variables. We try to reach both aims. Thus, the first three to four chapters, if complemented by an elementary chapter on holomorphic functions, can be used by a lecturer as an introductory course to com plex analysis. They contain standard applications of the Bochner-Martinelli-Koppelman integral representation, a complete presentation of Cauchy-Fantappie forms giving also the numerical constants of the theory, and a direct study of the Cauchy-Riemann com plex on strictly pseudoconvex domains leading, among other things, to a rather elementary solution of Levi's problem in complex number space en. Chapter IV carries the theory from domains in en to strictly pseudoconvex subdomains of arbitrary - not necessarily Stein - manifolds. We develop this theory taking as a model classical Hodge theory on compact Riemannian manifolds; the relation between a parametrix for the real Laplacian and the generalised Bochner-Martinelli-Koppelman formula is crucial for the success of the method., Books<