Kooperativer Bibliotheksverbund

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Format: VIII, 146 S.

ISBN: 0-691-08120-4

Series Statement: Annals of mathematics studies 75

Language: English

Subjects: Mathematics

Keywords: Neumann-Problem ; Cauchy-Riemannscher Komplex

URL: Verlagsangaben

Author information: Folland, Gerald B. 1947-

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Format: XIII, 267 S.

ISBN: 0-8176-3189-5 , 3-7643-3189-5

Language: English

Subjects: Mathematics

Keywords: Funktionentheorie ; Mehrere Variable ; Funktion ; Mehrere komplexe Variable ; Konferenzschrift ; Konferenzschrift

Author information: Kohn, Joseph John 1932-

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Format: 88 S.

ISBN: 0-8405-0202-8

Series Statement: Université 〈Montréal〉 / Séminaire de Mathématiques Supérieures: Publications 37 : Eté 1969

Language: English

Subjects: Mathematics

Keywords: Differentialgleichung

URL: http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002796736&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA

URL: Inhaltsverzeichnis

Author information: Kohn, Joseph John 1932-

UID:

Format: XIV, 268 p. , online resource.

ISBN: 9781461252962

Content: In recent years there has been increasing interaction among various branches of mathematics. This is especially evident in the theory of several complex variables where fruitful interplays of the methods of algebraic geometry, differential geometry, and partial differential equations have led to unexpected insights and new directions of research. In China there has been a long tradition of study in complex analysis, differential geometry and differential equations as interrelated subjects due to the influence of Professors S. S. Chern and L. K. Hua. After a long period of isolation, in recent years there is a resurgence of scientific activity and a resumption of scientific exchange with other countries. The Hangzhou conference is the first international conference in several complex variables held in China. It offered a good opportunity for mathematicians from China, U.S., Germany, Japan, Canada, and France to meet and to discuss their work. The papers presented in the conference encompass all major aspects of several complex variables, in particular, in such areas as complex differential geometry, integral representation, boundary behavior of holomorphic functions, invariant metrics, holomorphic vector bundles, and pseudoconvexity. Most of the participants wrote up their talks for these proceedings. Some of the papers are surveys and the others present original results. This volume constitutes an overview of the current trends of research in several complex variables.

Note: §1: Methods of Partial Differential Equations -- Boundary behavior of holomorphic mappings -- Invariant metrics on pseudoconvex domains -- Local bounds for orders of contact and a conjecture about subellipticity -- On an ideal of ring of differential operators -- Microlocalization of CR structures -- A note on the boundary Laplacian operator -- §2: Methods of Differential Geometry -- Géométrie des compactifications des espaces hermitiens localement symétriques -- Holomorphic projective structures and invariant distances -- Complex-analyticity of harmonic maps and vanishing theorems -- The characterization of strictly parabolic spaces -- The characteristic numbers of 4-dimensional Kähler manifolds -- On the Schwarz lemma for complete hermitian manifolds -- Holomorphic maps and conformal transformation on hermitian manifolds -- The degree of strong nondegeneracy of the bisectional curvature of exceptional bounded symmetric domains -- §3: Holomorphic Vector Bundles -- Holomorphic vector bundles on tori -- Submanifolds of projective space with semi-stable normal bundle -- Parameters for instanton and smoothness of M(0,2) -- §4: Kernels and Integral Formulae -- The integral representation for polyhedral domains of ?n -- Removable singularities for holomorphic functions which satisfy the area-BMO condition -- Singular integrals in several complex variables -- Integral formulae in complex analysis -- On the representative domain -- A remark on Poisson kernels -- Some applications of Bochner-Martinelli integral representation -- §5: Pseudoconvexity, Function Fields, Algebraic Varieties, Value Distribution Theory -- Some aspects of pseudoconvexity theory in several complex variables -- A higher dimensional analogue of Mordell’s conjecture over function fields and related problems -- Rank-complete function fields -- Chern classes on algebraic varieties with arbitrary singularities -- A general criterion -- Riemann-Roch theorem for strongly pseudoconvex manifolds of dimension three.

In: Springer eBooks

Additional Edition: Printed edition: ISBN 9780817631895

Language: English

Keywords: Konferenzschrift ; Konferenzschrift

DOI: 10.1007/978-1-4612-5296-2

URL: http://dx.doi.org/10.1007/978-1-4612-5296-2

URL: Volltext

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Format: 1 online resource

ISBN: 9781400881529

Series Statement: Annals of Mathematics Studies number 75

Content: Part explanation of important recent work, and part introduction to some of the techniques of modern partial differential equations, this monograph is a self-contained exposition of the Neumann problem for the Cauchy-Riemann complex and certain of its applications. The authors prove the main existence and regularity theorems in detail, assuming only a knowledge of the basic theory of differentiable manifolds and operators on Hilbert space. They discuss applications to the theory of several complex variables, examine the associated complex on the boundary, and outline other techniques relevant to these problems. In an appendix they develop the functional analysis of differential operators in terms of Sobolev spaces, to the extent it is required for the monograph

Note: Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) , In English

Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 0-691-08120-4

Language: English

Subjects: Mathematics

Keywords: Neumann-Problem ; Cauchy-Riemannscher Komplex

DOI: 10.1515/9781400881529

URL: Volltext  (URL des Erstveröffentlichers)

Author information: Kohn, Joseph John 1932-

Author information: Folland, Gerald B. 1947-

UID:

Format: 1 online resource (464 p.)

ISBN: 9781400881543

Series Statement: Annals of Mathematics Studies ; 100

Content: The description for this book, Recent Developments in Several Complex Variables. (AM-100), Volume 100, will be forthcoming.

Note: Frontmatter -- , THE FOUNDING OF THE ANNALS STUDIES -- , FOREWORD -- , TABLE OF CONTENTS -- , PROJECTIVE CAPACITY -- , ANOTHER PROOF OF THE LEMMA OF THE LOGARITHMIC DERIVATIVE IN SEVERAL COMPLEX VARIABLES -- , GRAPH THEORETIC TECHNIQUES IN ALGEBRAIC GEOMETRY I: THE EXTENDED DYNKIN DIAGRAM Ē8 AND MINIMAL SINGULAR COMPACTIFICATIONS OF C2 -- , ON METRICS AND DISTORTION THEOREMS -- , NECESSARY CONDITIONS FOR SUBELLIPTICITY AND HYPOELLIPTICITY FOR THE ∂̅-NEUMANN PROBLEM ON PSEUDOCONVEX DOMAINS -- , DAS FORMALE PRINZIP FÜR KOMPAKTE KOMPLEXE UNTERMANNIGFALTIGKEITEN MIT 1-POSITIVEM NORMALENBUNDEL -- , PERTURBATIONS OF ANALYTIC VARIETIES -- , BIHOLOMORPHIC MAPPINGS BETWEEN TWO-DIMENSIONAL HARTOGS DOMAINS WITH REAL-ANALYTIC BOUNDARIES -- , NECESSARY CONDITIONS FOR HYPOELLIPTICITY OF THE (∂̅-PROBLEM) -- , THE EDGE-OF-THE-WEDGE THEOREM FOR PARTIAL DIFFERENTIAL EQUATIONS -- , THE RADIAL DERIVATIVE, FRACTIONAL INTEGRALS, AND THE COMPARATIVE GROWTH OF MEANS OF HOLOMORPHIC FUNCTIONS ON THE UNIT BALL IN Cn -- , STABILITY PROPERTIES OF THE BERGMAN KERNEL AND CURVATURE PROPERTIES OF BOUNDED DOMAINS -- , GLOBALE HOLOMORPHE KERNE ZUR LÖSUNG DER CAUCHY-RIEMANNSCHEN DIFFERENTIALGLEICHUNGEN -- , MAPPINGS BETWEEN CR MANIFOLDS -- , BOUNDARY REGULARITY OF ∂̅ -- , ON CP1 AS AN EXCEPTIONAL SET -- , ORTHOGONAL MEASURES FOR SUBSETS OF THE BOUNDARY OF THE BALL IN C2 -- , A HOLOMORPHICALLY CONVEX ANALOGUE OF CARTAN’S THEOREM B -- , SOME GENERAL RESULTS ON EQUIVALENCE OF EMBEDDINGS -- , LIMITS OF BOUNDED HOLOMORPHIC FUNCTIONS ALONG CURVES -- , ON APPELL’S SYSTEMS OF HYPERGEOMETRIC DIFFERENTIAL EQUATIONS -- , A CLASS OF HYPERBOLIC MANIFOLDS -- , INTERPOLATION MANIFOLDS -- , SURVEY OF SOME RECENT RESULTS IN C∞ AND REAL ANALYTIC HYPOELLIPTICITY FOR PARTIAL DIFFERENTIAL OPERATORS WITH APPLICATIONS TO SEVERAL COMPLEX VARIABLES -- , THE FERMAT SURFACE AND ITS PERIODS -- , SHEAF COHOMOLOGY ON 1-CONVEX MANIFOLDS , In English.

Language: English

DOI: 10.1515/9781400881543

URL: https://doi.org/10.1515/9781400881543

URL: https://www.degruyter.com/isbn/9781400881543

URL: https://doi.org/10.1515/9781400881543

URL: https://www.degruyter.com/isbn/9781400881543

UID:

Format: 1 online resource (424 p.)

ISBN: 9781400871230

Series Statement: Princeton Mathematical Series ; 1586

Content: Global analysis describes diverse yet interrelated research areas in analysis and algebraic geometry, particularly those in which Kunihiko Kodaira made his most outstanding contributions to mathematics. The eminent contributors to this volume, from Japan, the United States, and Europe, have prepared original research papers that illustrate the progress and direction of current research in complex variables and algebraic and differential geometry. The authors investigate, among other topics, complex manifolds, vector bundles, curved 4-dimensional space, and holomorphic mappings. Bibliographies facilitate further reading in the development of the various studies.Originally published in 1970.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Note: Frontmatter -- , Foreword -- , Table of Contents -- , The second Lefschetz theorem on hyperplane sections -- , Algebraization of formal moduli: I -- , The signature of fibre-bundles -- , On Hensel's lemma and exponential sums -- , An intrinsic characterization of harmonic one-forms -- , Intrinsic norms on a complex manifold -- , On the area of complex manifolds -- , On the deformation of sheaves of rings -- , Die Azyklizitat der affinoiden tlberdeckungen -- , Hermitian differential geometry, Chern classes, and positive vector bundles -- , The signature of ramified coverings -- , Deformations of compact complex surfaces -- , On the volume of polyhedra -- , On the resolution of certain holomorphic mappings -- , Harmonic integrals for differential complexes -- , A note on families of complex structures -- , A survey of some results on complex Kahler manifolds -- , Enriques' classification of surfaces in char p: I -- , On modular imbeddings of a symmetric domain of type (IV) -- , The curvature of 4-dimensional Einstein spaces -- , On deformation of pseudogroup structures -- , Sur les variétés d'ordre fini -- , Obstructions to the existence of a space of moduli , In English.

Language: English

DOI: 10.1515/9781400871230

URL: https://doi.org/10.1515/9781400871230

URL: https://www.degruyter.com/isbn/9781400871230

URL: https://doi.org/10.1515/9781400871230

URL: https://www.degruyter.com/isbn/9781400871230