×

CR-distributions and analytic continuation at generating edges. (English) Zbl 0554.32013

See the preview in Zbl 0538.32008.

MSC:

32D15 Continuation of analytic objects in several complex variables
46F05 Topological linear spaces of test functions, distributions and ultradistributions
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Bedford, E.: Holomorphic continuation at a totally real edge. Math. Ann.230, 213-235 (1977) · Zbl 0353.32016 · doi:10.1007/BF01367577
[2] Bros, J., Iagolnitzer, D.: Causality and Local Analyticity: Mathematical Study. Ann. Inst. H. Poincaré, Sect. A,18, 147-184 (1973) · Zbl 0286.42016
[3] Boggess, A., Polking, J.: Holomorphic Extension of CR-Functions. Duke Math. J.49, 757-784 (1982) · Zbl 0506.32003 · doi:10.1215/S0012-7094-82-04938-9
[4] Folland, G.: Introduction to Partial Differential Equations. Math. Notes # 17. Princeton: Princeton Univ. Press 1976 · Zbl 0325.35001
[5] Kerzman, N.: Four Lectures on Several Complex Variables. Math. Inst., Univ. of Amsterdam, Roeterstraat 15, 1018 WB Amsterdam, 1983
[6] Pin?uk, S.: Bogoljubov’s Theorem on the Edge-of-the-Wedge for Generic Manifolds. Math. USSR Sbornik23, 441-455 (1974) · Zbl 0313.32016 · doi:10.1070/SM1974v023n03ABEH001725
[7] Rudin, W.: Lectures on the Edge-of-the-Wedge Theorem. Reg. Conf. Series in Math., no 6, AMS 1971 · Zbl 0214.09001
[8] Schwartz, L.: Théorie des distributions. Paris: Hermann 1978
[9] Straube, E.: Cauchy-Riemann Distributions and Boundary Values of Analytic Functions. ETH dissertation, no. 7351, Zurich 1983
[10] Straube, E.: Harmonic and Analytic Functions Admitting a Distribution Boundary Value. To appear in Ann. Scuola Norm. Sup. Pisa
[11] Trèves, F.: Approximation and Representation of Functions and Distributions Annihilated by a System of Complex Vector Fields. Editions de l’école polytechnique, centre de mathématiques, Palaiseau, France, 1981 · Zbl 0515.58030
[12] Vladimirov, V.: Methods of the Theory of Functions of Many Complex Variables. M.I.T. Press, Boston 1966
[13] Webster, S.: On the Reflection Principle in Several Complex Variables. Proc. AMS71, I 26-28 (1978) · Zbl 0626.32019 · doi:10.1090/S0002-9939-1978-0477138-4
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.