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Finite symmetric trilinear integral transform of distributions. II (Q885632)

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scientific article; zbMATH DE number 5164287
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English
Finite symmetric trilinear integral transform of distributions. II
scientific article; zbMATH DE number 5164287

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    Finite symmetric trilinear integral transform of distributions. II (English)
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    14 June 2007
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    Summary: The finite symmetric trilinear integral transform is extended to distributions by using quite different technique than Zemanian (1968) and Dube (1976) and an inversion formula is established using Parseval's identity. The operational calculus generated is applied to find the temperature inside an equilateral prism of semi-infinite length. [For Part~I, see J.~Indian Acad.\ Math.\ 26, No.\,1, 137--166 (2004; Zbl 1081.46028). Part III has appeared in Rocky Mt.\ J.\ Math.\ 40, No.\,1, 339--366 (2010; Zbl 1197.46023).]
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