The Hartogs extension phenomenon redux. (English) Zbl 1140.32007
The author considers the Hartogs extension phenomenon and problems connected with it from different sides. He presents several proofs of this phenomenon including new ones.
Reviewer: Polina Z. Agranovich (Khar’kov)
MSC:
| 32E05 | Holomorphically convex complex spaces, reduction theory |
| 32E40 | The Levi problem |
| 32D15 | Continuation of analytic objects in several complex variables |
References:
| [1] | DOI: 10.1007/BF01448415 · JFM 37.0444.01 · doi:10.1007/BF01448415 |
| [2] | Osgood WF, Lehrbuch der Funktionentheorie 1 (1912) |
| [3] | Merker J, Journal of Geometric Analysis (2007) |
| [4] | Krantz SG, Function Theory of Several Complex Variables,, 2. ed. (2001) |
| [5] | Greene RE, Function Theory of One Complex Variable,, 3. ed. (2006) |
| [6] | Krantz SG, Cornerstones of Geometric Function Theory: Explorations in Complex Analysis (2006) |
| [7] | Krantz SG, A Panorama of Harmonic Analysis (1999) |
| [8] | Stein EM, Fourier Analysis on Euclidean Spaces (1971) |
| [9] | Folland GB, Proceedings of the American Mathematical Society 47 pp 401– (1975) |
| [10] | Folland GB, The Neumann Problem for the Cauchy-Riemann Complex (1972) |
| [11] | Krantz SG, Partial Differential Equations and Complex Analysis (1992) |
| [12] | Bochner S, Annales of Mathematics 44 pp 652– (1943) · Zbl 0060.24206 · doi:10.2307/1969103 |
| [13] | Kneser H, Montaschefte fiir Mathematik und Physik 43 pp 364– (1936) · Zbl 0014.02608 · doi:10.1007/BF01707615 |
| [14] | Hörmander L, An Introduction to Complex Analysis in Several Variables (1990) |
| [15] | DOI: 10.1216/rmjm/1181072807 · Zbl 0760.32010 · doi:10.1216/rmjm/1181072807 |
| [16] | Krantz SG, Geometric Analysis and Function Spaces (1993) |
| [17] | Fornæss JE, Personal Communication |
| [18] | Goluzin GM, Geometric Theory of Functions of a Complex Variable (1969) |
| [19] | Krantz SG, Expositiones Mathematical 3 pp 193– (1983) |
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