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Commun. Korean Math. Soc. 2001; 16(3): 371-383
Printed September 1, 2001
Copyright © The Korean Mathematical Society.
Applications of the Reproducing Kernel Theory to Inverse Problems
Saburou Saitoh
Gunma University
In this survey article, we shall introduce the applications of the theory of reproducing kernels to inverse problems. At the same time, we shall present some operator versions of our fundametal general theory for linear transforms in the framework of Hilbert spaces.
Keywords: reproducing kernels, inverse problem, Laplace transform, integral transforms, operator, analytic extension, real inversion formula of the Laplace transform
MSC numbers: 30C40, 44A05, 46E22
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