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Locally explicit fundamental principle for homogeneous convolution equations
Alekos Vidras Department of Mathematics and Statistics, University of Cyprus, POB 20537, Nicosia 1678, Cyprus
Abstract:
In the present paper a locally explicit version of Ehrenpreis's Fundamental Principle for a system of homogeneous convolution equations ˇf∗μj=0, j=1,…,m, f∈E(Rn), μj∈E′(Rn), is derived, when the Fourier Transforms ˆμj, j=1,…,m are slowly decreasing entire functions that form a complete intersection in Cn.
Keywords:
fundamental principle, division formula.
Received: 13.03.2019 Received in revised form: 20.05.2019 Accepted: 26.05.2019
Citation:
Alekos Vidras, “Locally explicit fundamental principle for homogeneous convolution equations”, J. Sib. Fed. Univ. Math. Phys., 12:4 (2019), 466–474
Linking options:
https://www.mathnet.ru/eng/jsfu785 https://www.mathnet.ru/eng/jsfu/v12/i4/p466
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Abstract page: | 134 | Full-text PDF : | 31 | References: | 25 |
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