Convolution operators in A −∞ for convex domains

We consider the convolution operators in spaces of functions which are holomorphic in a bounded convex domain in ℂn and have a polynomial growth near its boundary. A characterization of the surjectivity of such operators on the class of all domains is given in terms of low bounds of the Laplace tran...

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Bibliographic Details
Main Authors: Abanin, Alexander V., Ishimura, Ryuichi., Khoi, Le Hai.
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2013
Online Access:https://hdl.handle.net/10356/99103
http://hdl.handle.net/10220/12605
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Institution: Nanyang Technological University
Language: English