Über die Radon‐Transformation kreissymmetrischer Funktionen und ihre Beziehung zur Sommerfeldschen Theorie der Hankelfunktionen | Zendy

Müller C. | Zendy; Richberg R. | Zendy; Leis R. | Zendy

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Über die Radon‐Transformation kreissymmetrischer Funktionen und ihre Beziehung zur Sommerfeldschen Theorie der Hankelfunktionen

Author(s) -

Müller C.,

Richberg R.,

Leis R.

Publication year - 1980

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1670020110

Subject(s) - mathematics , inversion (geology) , radon transform , fourier transform , transformation (genetics) , radon , pure mathematics , integral transform , mathematical analysis , physics , quantum mechanics , paleontology , biochemistry , chemistry , structural basin , gene , biology

For the Radon transform of functions with circular symmetry an inversion formula is proved in a new and elementary way. The inversion formula combined with Fourier theory is applied to Sommer‐feld's integral for H v 1 , yielding a representation of products which generalizes Nicholson's integral for |H v (1) | 2 .

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