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OverviewThe present book deals with integral representations for holomorphic functions of several complex variables and holomorphic extensions in several complex variables. We construct volume forms on toric varieties (analogues of the Fubini-Studi form) and etalon forms in multidimensional complex space with singular set a union of some coordinate subspaces (analogues of the Bochner-Martinelli form). This will allow us to construct a class of integral representations in d-circular polyhedra with etalon kernels. Another object of study in the work is a problem of holomorphic extension of CR-functions on toric varieties. We will consider the compact and noncompact cases and investigate some restrictions on varieties under which such an extension becomes possible. Full Product DetailsAuthor: Alexey KytmanovPublisher: LAP Lambert Academic Publishing Imprint: LAP Lambert Academic Publishing Dimensions: Width: 15.20cm , Height: 0.60cm , Length: 22.90cm Weight: 0.159kg ISBN: 9783838318103ISBN 10: 3838318102 Pages: 100 Publication Date: 14 October 2009 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |