July 1, 2004

Approximate real inversion formulas of the gaussian convolution

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Resumen

We shall give very and surprisingly simple approximate real inversion formulas of the Gaussian convolution (the Weierstrass transform) for the first-order Sobolev Hilbert space on the whole real line by using best approximations and the theory of reproducing kernels and by using a good connection with the Tikhonov regularization.

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Saburou Saitoh (Thu,) studied this question.

synapsesocial.com/papers/6a20d3ea8446b104fdecb0fa https://doi.org/https://doi.org/10.1080/00036810410001657198

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