Abstract

Many important problems in physics and other sciences can be formulated in terms of the inverse problem of type n(y) = ∝K(y ∥ x)g(x) dx, where g(x) is unknown. We show that this problem can be completely solved for a quite general class of kernel K(y ∥ x) by analytically dilating n(y) and K(y ∥ x) to the complex z plane, and by the analysis of the singularity of the dilated kernel K(z ∥ x). The formalism is also extended to multi-dimensional cases.

Original languageEnglish (US)
Pages (from-to)130-136
Number of pages7
JournalPhysics Letters A
Volume205
Issue number2-3
DOIs
StatePublished - Sep 11 1995

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ASJC Scopus subject areas

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Inverse problem and singularity of the integration kernel. / Gang, Hu; Ning, Cun-Zheng; Haken, H.

In: Physics Letters A, Vol. 205, No. 2-3, 11.09.1995, p. 130-136.

Research output: Contribution to journalArticle

Gang, Hu ; Ning, Cun-Zheng ; Haken, H. / Inverse problem and singularity of the integration kernel. In: Physics Letters A. 1995 ; Vol. 205, No. 2-3. pp. 130-136.
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