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Weighted ∂¯-Integral Representations of C1-Functions in C n
Author
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-27, 27 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-02-08
Country of Publication
Egypt
No. of Pages
27
Main Subjects
Abstract EN
For C1-functions f, given in the complex space Cn, integral representations of the form f=P(f)−T(∂¯f) are obtained.
Here, P is the orthogonal projector of the space L2{Cn;e−σ|z|ρ|z|γdm(z)} onto its subspace of entire functions and the integral operator T appears by means of explicitly constructed kernel Φ which is investigated in detail.
American Psychological Association (APA)
Karapetyan, Arman H.. 2012. Weighted ∂¯-Integral Representations of C1-Functions in C n. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-458707
Modern Language Association (MLA)
Karapetyan, Arman H.. Weighted ∂¯-Integral Representations of C1-Functions in C n. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-27.
https://search.emarefa.net/detail/BIM-458707
American Medical Association (AMA)
Karapetyan, Arman H.. Weighted ∂¯-Integral Representations of C1-Functions in C n. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-27.
https://search.emarefa.net/detail/BIM-458707
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458707