From holomorphic functions to complex manifolds / K. Fritzsche, H: Grauert
| From holomorphic functions to complex manifolds / K. Fritzsche, H: Grauert |
| Autore | Fritzsche, Klaus |
| Pubbl/distr/stampa | New York : Springer, c2002 |
| Descrizione fisica | xv, 392 p. ; 24 cm |
| Disciplina | 515.98 |
| Collana | Graduate texts in mathematics |
| Soggetto non controllato |
Funzioni olomorfe di molte variabili complesse
Geometria analitica |
| ISBN | 0-387-95395-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-990001496560403321 |
| Fritzsche, Klaus | ||
| New York : Springer, c2002 | ||
| Lo trovi qui: Univ. Federico II | ||
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Several Complex Variables / H. Grauert, K. Fritzsche
| Several Complex Variables / H. Grauert, K. Fritzsche |
| Autore | Grauert, Hans |
| Pubbl/distr/stampa | New York, : Springer, 1976 |
| Descrizione fisica | viii, 208 p. ; 24 cm |
| Altri autori (Persone) | Fritzsche, Klaus |
| Soggetto non controllato |
Convexity
Differential equations Holomorphic Functions Integrals Manifolds Partial differential equations Pseudoconvexity Sheaves |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0268037 |
Grauert, Hans
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| New York, : Springer, 1976 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Several Complex Variables / H. Grauert, K. Fritzsche
| Several Complex Variables / H. Grauert, K. Fritzsche |
| Autore | Grauert, Hans |
| Pubbl/distr/stampa | New York, : Springer, 1976 |
| Descrizione fisica | viii, 208 p. ; 24 cm |
| Altri autori (Persone) | Fritzsche, Klaus |
| Soggetto topico |
32-XX - Several complex variables and analytic spaces [MSC 2020]
32Axx - Holomorphic functions of several complex variables [MSC 2020] 32C15 - Complex spaces [MSC 2020] 32Dxx - Analytic continuation [MSC 2020] 32J25 - Transcendental methods of algebraic geometry (complex-analytic aspects) [MSC 2020] 32L10 - Sheaves and cohomology of sections of holomorphic vector bundles, general results [MSC 2020] |
| Soggetto non controllato |
Convexity
Differential Equations Holomorphic Functions Integrals Manifolds Partial Differential Equations Pseudoconvexity Sheaves |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The present book grew out of introductory lectures on the theory offunctions of several variables. Its intent is to make the reader familiar, by the discussion of examples and special cases, with the most important branches and methods of this theory, among them, e.g., the problems of holomorphic continuation, the algebraic treatment of power series, sheaf and cohomology theory, and the real methods which stem from elliptic partial differential equations. In the first chapter we begin with the definition of holomorphic functions of several variables, their representation by the Cauchy integral, and their power series expansion on Reinhardt domains. It turns out that, in l:ontrast ~ 2 there exist domains G, G c en to the theory of a single variable, for n with G c G and G "# G such that each function holomorphic in G has a continuation on G. Domains G for which such a G does not exist are called domains of holomorphy. In Chapter 2 we give several characterizations of these domains of holomorphy (theorem of Cartan-Thullen, Levi's problem). We finally construct the holomorphic hull H(G} for each domain G, that is the largest (not necessarily schlicht) domain over en into which each function holomorphic on G can be continued. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00268037 |
Grauert, Hans
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| New York, : Springer, 1976 | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Several complex variables / H. Grauert, K. Fritzsche
| Several complex variables / H. Grauert, K. Fritzsche |
| Autore | Grauert, Hans |
| Pubbl/distr/stampa | New York : Springer-Verlag, c1976 |
| Descrizione fisica | viii, 207 p. : ill. ; 24 cm |
| Disciplina | 515.94 |
| Altri autori (Persone) | Fritzsche, Klaus |
| Collana | Graduate texts in mathematics, 0072-5285 ; 38 |
| Soggetto topico | Functions of several complex variables |
| ISBN | 0387901728 |
| Classificazione |
AMS 32-01
AMS 32-XX |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001342269707536 |
Grauert, Hans
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| New York : Springer-Verlag, c1976 | ||
| Lo trovi qui: Univ. del Salento | ||
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