On convergence almost everywhere of multiple fourier integrals
of the polyharmonic operator, which coincides with the multiple Fourier integrals summed over the domains corresponding to the surface levels of the polyharmonic polynomials. It is proved that the partial sums of the multiple Fourier integrals of a function 2 f ∈ L (RN ) converge to zero almost-e...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2011
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| Online Access: | http://journalarticle.ukm.my/2895/1/jqma-7-1-10-anvarjon.pdf http://journalarticle.ukm.my/2895/ http://www.ukm.my/~ppsmfst/jqma |
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| Summary: | of the polyharmonic operator, which coincides with the multiple Fourier integrals summed
over the domains corresponding to the surface levels of the polyharmonic polynomials. It is
proved that the partial sums of the multiple Fourier integrals of a function 2 f ∈ L (RN )
converge to zero almost-everywhere on RN \ supp f . |
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