Weighted 𝜕-Integral Representations of 𝐶𝟏-Functions in 𝐶𝑛
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 ke...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/265092 |