On Fourier multipliers and absolute convergence of Fourier integrals of radial functions
We obtain sufficient conditions for the representability of a function in the form of an absolutely convergent Fourier integral. These conditions are given in terms of the joint behavior of the function and its derivatives at infinity, and their efficiency and exactness are verified with the use of...
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| Date: | 2010 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2010
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2954 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |