On a space of entire functions rapidly decreasing on Rn and its Fourier transform
A space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper. For such space an equivalent description in terms of estimates on all of its partial derivati...
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| Format: | Article |
| Language: | English |
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De Gruyter
2015-11-01
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| Series: | Concrete Operators |
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| Online Access: | http://www.degruyter.com/view/j/conop.2014.2.issue-1/conop-2015-0007/conop-2015-0007.xml?format=INT |
| Summary: | A space of entire functions of several complex variables rapidly decreasing on Rn and such that
their growth along iRn is majorized with the help of a family of weight functions is considered in this paper.
For such space an equivalent description in terms of estimates on all of its partial derivatives as functions on
Rn and a Paley-Wiener type theorem are obtained. |
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| ISSN: | 2299-3282 |