Norm-preserving L−L integral transformations

In this paper we consider an L−L integral transformation G of the form F(x)=∫0∞G(x,y)f(y)dy, where G(x,y) is defined on D={(x,y):x≥0,y≥0} and f(y) is defined on [0,∞). The following results are proved: For an L−L integral transformation G to be norm-preserving, ∫0∞|G*(x,t)|dx=1 for almost all t≥0 is...

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Bibliographic Details
Main Author: Yu Chuen Wei
Format: Article
Language:English
Published: Wiley 1985-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171285000485
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