Functions and Analysis

    

Inverse Problems and Theory of Reproducing Kernels Theory

Authors: Saburou Saitoh

At least until about 20 years ago, we had very difficult inverse problems that are important in many practical problems (fundamentals). These problems were indeed difficult in both mathematics and numerical realizations of the solutions and so, they are called ill-posed problems and very famous difficult problems. We were able to solve these problems in both senses of mathematics and numerical problems by using the theory of reproducing kernels applying the Tikhonov regularization. However, for the real inversion formula of the Laplace transform, we needed the great power of computers by H. Fujiwara.

Comments: 16 Pages. [Corrections made by viXra Admin to conform with the requirements on the Submission Form]

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[v1] 2021-01-09 11:33:24

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