TitleProjection method for the Hankel transform
Publication typeJournal article
Author(s)A.S. Krylov, M.M. Mizotin
Publication dateJune 2011
JournalIntegral Transforms and Special Functions
AbstractThe numerical projection method for the zero-order Hankel transform inversion for the case of data given on a finite interval has been developed. The justification of the convergence of the projection method has been done for the general case that also includes the sine-Fourier transform inversion. An inequality on the norms of the zeroth-order Laguerre functions has been proved. The efficiency of the method was illustrated with the test data and for the problem of cylindrical distribution function calculation using the melt surface layer diffraction data.

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