Function Theory in the Unit Ball of n

Function Theory in the Unit Ball of Cn. From the reviews: " The book is easy on the reader. The prerequisites are minimal just the standard graduate introduction to real analysis, complex analysis (one variable), and functional analysis. This presentation is unhurried and the author does most o...

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Glavni avtor: Rudin, Walter, 1921-2010, mathématicien
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Izdaja:1st ed. 2008.
Serija:Classics in Mathematics
Teme:
Online dostop:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Sporočilo: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
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245 1 0 |a Function Theory in the Unit Ball of n   |c by Walter Rudin. 
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490 0 |a Classics in Mathematics  |x 2512-5257 
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505 0 |a Preliminaries -- The Automorphisms of B -- Integral Representations -- The Invariant Laplacian -- Boundary Behavior of Poisson Integrals -- Boundary Behavior of Cauchy Integrals -- Some Lp-Topics -- Consequences of the Schwarz Lemma -- Measures Related to the Ball Algebra -- Interpolation Sets for the Ball Algebra -- Boundary Behavior of H?-Functions -- Unitarily Invariant Function Spaces -- Moebius-Invariant Function Spaces -- Analytic Varieties -- Proper Holomorphic Maps -- The -Problem -- The Zeros of Nevanlinna Functions -- Tangential Cauchy-Riemann Operators -- Open Problems 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a Function Theory in the Unit Ball of Cn. From the reviews: " The book is easy on the reader. The prerequisites are minimal just the standard graduate introduction to real analysis, complex analysis (one variable), and functional analysis. This presentation is unhurried and the author does most of the work. certainly a valuable reference book, and (even though there are no exercises) could be used as a text in advanced courses." R. Rochberg in Bulletin of the London Mathematical Society. " an excellent introduction to one of the most active research fields of complex analysis. As the author emphasizes, the principal ideas can be presented clearly and explicitly in the ball, specific theorems can be quickly proved. Mathematics lives in the book: main ideas of theorems and proofs, essential features of the subjects, lines of further developments, problems and conjectures are continually underlined. Numerous examples throw light on the results as well as on the difficulties." C. Andreian Cazacu in Zentralblatt für Mathematik 
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