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SIAM Journal on Mathematical Analysis, 1973
An integral transform $\bar f(s) = \int f(t)\varphi (s,t)dt$ can be averaged over the convex hull of $\{ s_1 , \cdots ,s_k \} $ to produce an analogous function $\bar F\{ s_1 , \cdots ,s_k \} $ of several real or complex variables. The question arises whether it is legitimate to take the average under the integral sign, so that $\bar F\{ s_1 , \cdots ...
Rognlie, D. M., Carlson, B. C.
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An integral transform $\bar f(s) = \int f(t)\varphi (s,t)dt$ can be averaged over the convex hull of $\{ s_1 , \cdots ,s_k \} $ to produce an analogous function $\bar F\{ s_1 , \cdots ,s_k \} $ of several real or complex variables. The question arises whether it is legitimate to take the average under the integral sign, so that $\bar F\{ s_1 , \cdots ...
Rognlie, D. M., Carlson, B. C.
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1989
A survey of integral transforms occuring in mathematical physics from general positions is presented. As a basis of the exposition, a linear integral operator is taken, with the help of which a more or less unified theory of integral transforms is constructed.
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A survey of integral transforms occuring in mathematical physics from general positions is presented. As a basis of the exposition, a linear integral operator is taken, with the help of which a more or less unified theory of integral transforms is constructed.
openaire +2 more sources