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Inversion of an integral transform related to a general form of heat equation

โœ Scribed by Ahmed Zayed; Deborah Tepper Haimo


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
638 KB
Volume
131
Category
Article
ISSN
0022-247X

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Explicit inversion formulas are obtained for the analytic family of fractional integrals (T : f )(x)=# n, : S n |xy| :&1 f ( y) dy on the unit sphere in R n+1 . Arbitrary complex : and n 2 are considered. In the ease :=0 the integral T : f coincides with the spherical Radon transform. For :>1 (:{1,

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## Abstract For the monolayer adsorption on a homogeneous surface, including arbitrary range lateral interactions, the isotherm can be written as a power series of the Langmuir isotherm. If this isotherm is used as the kernel in the adsorption integral equation, this integral equation can be solved