Removable singularities of CR functions on singular boundaries |
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Authors: | A Kytmanov S Myslivets N Tarkhanov |
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Institution: | Krasnoyarsk State University, pr. Svobodnyi 79, 660041 Krasnoyarsk, Russia (e-mail: kytmanov@math.kgu.krasnoyarsk.su/ simona@math.kgu.krasnoyarsk.su), RU Universit?t Potsdam, Institut für Mathematik, Postfach 60 15 53, 14415 Potsdam, Germany (e-mail: tarkhanov@math.uni-potsdam.de), DE
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Abstract: | The problem of analytic representation of integrable CR functions on hypersurfaces with singularities is treated. The nature of singularities does not matter while the set of singularities
has surface measure zero. For simple singularities like cuspidal points, edges, corners, etc., also the behaviour of representing
analytic functions near singular points is studied.
Received: 8 December 2000; in final form: 24 June 2001/Published online: 1 February 2002 |
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Keywords: | Mathematics Subject Classification: 32F40 32D20 |
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