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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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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  
New York, : Springer, 1976
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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  
New York, : Springer, 1976
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
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  
New York : Springer-Verlag, c1976
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui