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• W3178001105 abstract "The singular value decomposition going with many problems in medical imaging, non-destructive testing, geophysics, is of central importance. Unfortunately the effective numerical determination of the singular functions in question is a very ill-posed problem. The best known remedy to this problem goes back to the work of D. Slepian, H.Landau and H. Pollak, Bell Labs 1960-1965. We show that the master symmetries of the Korteweg-de Vries equation give a way to extend the remarkable result of D. Slepian in connection with the Bessel integral kernel and the existence of a differential operator that commutes with the corresponding integral operator. The original results of the Bell Labs group has already played an important role in the study of the limited angle problem in X-ray tomography as well as in Random Matrix theory." @default.
• W3178001105 created "2021-07-19" @default.
• W3178001105 creator A5074304506 @default.
• W3178001105 date "2021-07-27" @default.
• W3178001105 modified "2023-09-23" @default.
• W3178001105 title "Commuting integral and differential operators and the master symmetries of the Korteweg–de Vries equation" @default.
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• W3178001105 doi "https://doi.org/10.1088/1361-6420/ac11c6" @default.
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