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Uniform algebras and Jensen measures /
These lecture notes are devoted to an area of current research interest that bridges functional analysis and function theory. The unifying theme is the notion of subharmonicity with respect to a uniform algebra. The topics covered include the rudiments of Choquet theory, various classes of represent...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1978.
|
| Colección: | London Mathematical Society lecture note series ;
32. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Gamelin, Theodore W. | |
| 245 | 1 | 0 | |a Uniform algebras and Jensen measures / |c T.W. Gamelin. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1978. | ||
| 300 | |a 1 online resource (162 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 32 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a These lecture notes are devoted to an area of current research interest that bridges functional analysis and function theory. The unifying theme is the notion of subharmonicity with respect to a uniform algebra. The topics covered include the rudiments of Choquet theory, various classes of representing measures, the duality between abstract sub-harmonic functions and Jensen measures, applications to problems of approximation of plurisubharmonic functions of several complex variables, and Cole's theory of estimates for conjugate functions. Many of the results are published here for the first time in monograph form. | ||
| 505 | 0 | |a Cover; Title; Copyright; Contents; Preface; 1. Choquettheory; R-measures; The R-measures are called Jensen measures.; The Family S of R-envelope Functions; The Family S of Continuous R-envelope Functions; The R-Dirichlet Problem; The Choquet Boundary; Barriers; Maximal Measures; Examples; References; 2 . Classes of representing measures; Representing Measures; Arens-Singer Measures; An Example; Nomenclature; References; 3 . The algebra R(K); References; 4 . The corona problem for Riemann surfaces; References; 5 . Subharmonicity with respect to a uniformalgebra; Quasi-subharmonic Functions | |
| 505 | 8 | |a Hartogs SeriesLocalization Principle for Subharmonic Functions; Localization of the Jensen Boundary; Supports of Jensen Measures; Bremermann Functions; Evidently E is a compact subset of U; The Generalized Dirichlet Problem; References; 6 . Algebras of analytic functions; Plurisubharmonic Functions; Plurisubharmonic Barriers and Pseudoconvex Boundary Points; Bremermann's Theorem; Bremermann Functions; Br erne rmann f un c t i on.; Bremermann's Generalized Dirichlet Problem; References; 7 . The conjugation operation for representingmeasures; The Conjugation Operator; Cole's Theorem | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Uniform algebras. | |
| 650 | 0 | |a Measure theory. | |
| 650 | 0 | |a Jensen measures. | |
| 650 | 6 | |a Théorie de la mesure. | |
| 650 | 6 | |a Algèbres uniformes. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Linear. |2 bisacsh | |
| 650 | 7 | |a Measure theory |2 fast | |
| 650 | 7 | |a Uniform algebras |2 fast | |
| 650 | 7 | |a Funktionenalgebra |2 gnd | |
| 650 | 7 | |a Jensen-Maß |2 gnd | |
| 650 | 1 | 7 | |a Banach-algebra's. |2 gtt |
| 650 | 1 | 7 | |a Analytische functies. |2 gtt |
| 650 | 7 | |a Mesure, théorie de la. |2 ram | |
| 650 | 0 | 7 | |a Jensen-Ma€. |2 swd |
| 776 | 0 | 8 | |i Print version: |a Gamelin, Theodore W. |t Uniform algebras and Jensen measures. |d Cambridge ; New York : Cambridge University Press, 1978 |z 052122280X |w (DLC) 78016213 |w (OCoLC)4036945 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 32. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552477 |z Texto completo |
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